{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "522c2f1a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ef803128",
   "metadata": {},
   "outputs": [],
   "source": [
    "xBegin = 0\n",
    "xend = 1\n",
    "D = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "fbec1df6",
   "metadata": {},
   "outputs": [],
   "source": [
    "bottom = 0\n",
    "top = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d6d44a42",
   "metadata": {},
   "outputs": [],
   "source": [
    "def uBegin(x,x0 = 0.5):\n",
    "    return - 4 * (x - x0) ** 2 + 1 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3142e16d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x248aecf9910>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0,1,100)\n",
    "u0 = uBegin(x)\n",
    "plt.plot(x,u0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "91e375c0",
   "metadata": {},
   "outputs": [],
   "source": [
    "dt = 0.0001\n",
    "dx = 0.05\n",
    "signa = D * dt / (dx ** 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "31f838da",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.039999999999999994"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "signa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "d63f9d6b",
   "metadata": {},
   "outputs": [],
   "source": [
    "xArr = np.arange(xBegin,xend + dx,dx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "bb4e2332",
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 100\n",
    "tBegin = 0\n",
    "tEnd = dt * n\n",
    "tArr = np.arange(tBegin,tEnd,dt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "0743063b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xArr.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "1e19a381",
   "metadata": {},
   "outputs": [],
   "source": [
    "A = np.identity(xArr.size - 2)\n",
    "\n",
    "B = np.roll(A,1)\n",
    "B[0,0] = 0\n",
    "\n",
    "C = np.roll(A,-1)\n",
    "C[-1,-1] = 0\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "9405bee0",
   "metadata": {},
   "outputs": [],
   "source": [
    "AFinal = (1-2*signa)*A + signa * B + signa * C"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "5cd707a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.92, 0.04, 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.04, 0.92, 0.04, 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.04, 0.92, 0.04, 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.04, 0.92, 0.04, 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.04, 0.92, 0.04, 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.04, 0.92, 0.04, 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.04, 0.92, 0.04, 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.04, 0.92, 0.04, 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.04, 0.92, 0.04, 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.04, 0.92, 0.04,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.04, 0.92,\n",
       "        0.04, 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.04,\n",
       "        0.92, 0.04, 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.04, 0.92, 0.04, 0.  , 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.04, 0.92, 0.04, 0.  , 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.04, 0.92, 0.04, 0.  , 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.04, 0.92, 0.04, 0.  , 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.04, 0.92, 0.04, 0.  ],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.04, 0.92, 0.04],\n",
       "       [0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.  ,\n",
       "        0.  , 0.  , 0.  , 0.  , 0.  , 0.  , 0.04, 0.92]])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "AFinal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "e164ea4b",
   "metadata": {},
   "outputs": [],
   "source": [
    "bVector = np.zeros(xArr.size - 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "580c9f8c",
   "metadata": {},
   "outputs": [],
   "source": [
    "bVector[0] = signa * bottom\n",
    "bVector[-1] = signa * top"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "2b0c21bb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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iCJfyJV/0t9g+yDIMLZPmlo1rK8n3jOhSxyzWdshtiMTlQ4KJU5zFIMpFJ699oHm6wZfsYpVvkouMuVE+X/NRakaOqniNL9VA1bOjxYlcZUQwwsjap2yFrFZDQ5AhDLvIe2XMzUdMzTb6pgplV496bEcltyNXaZBGQwbDKj2hwFDboqvv0zBrqJlcDNUOJJUBrSAwP+jirEpoqirEmpxRv0VfLNFXl8kvyCjNbvLyafRRKiURCmFX2whfyGg049z52s/XjFFc9ymbzifXaGysXcgoiG9Jbm/x8kAi6bhC4V1n5k2Bk03YaHsYZk8531vlm6JKqrozvv17/wHzM653/fVP+RoyFfQpv2ZIksRP/NS/4OHH/yWD1RC3owyRuJ34KwPGxBFzg11+Zn3IxuE1irktLvQPbJ/Bw0s3nXKMxZQKk3GZq4hIoVcjlLjBUY8wXNHyxi3HkTtlIaXBZFzlJjLicVAnGL/GWd9gGNJy4FUhDnsoeiVMjSfMzQ66phJlV4dGdKJS2BA0GgRLj5ZD5MGg4FGpYTQeIBvU0XaKGFtlOjoTLZ0LUW1DkKtxigO8rQGWqoBQ0SJ2hgyH1UnvubZBVzegaVJRs7gZaiaCv1nvYYlCRX5CYtmN0rLAzrVE9ynHgzfPnX+XzRbYYgIV2RGJkAuldZHdG+g85nj05qgHJqmVy/k7bOZVLKe3HO6aefVopVE7ILG9yXtHkLBdIsxGmHtTRvYfe/kvvvPPopwWTT+TTAV9yq8JmfwDP/E3vxtLb5ufXR8QObhBubjJhSbPzrmC7EsrUi5KsBLm/V2B4MkpJsseb55TMcP1eY7NEgupIzz5GXTuOY5XBIa1LMGbB2yjbWrrAidGmE8fMZOb+Sg1069mCcYfsPQ2Ueh0YBnQcIx5NCp4VKgZjYfIB3W07QLWeglDAzQdDYqBDS0O5GojMpPEwNqnYQF9EzRVJVJDzrjXYSCW6Csq9HVd2qYRNZON9nM3C0oNDnGItzkRfFlVg9QeUSNKJqig7Q7zIjNCuq1Rsl8TD27gl7QsXsipDi7IBOS03GFe3Y8Q0w1Ktiviock17oMmFytVloRFlPEbjvfn+ELSQGH4hofILlsfDLmeS2OxrmA9yXG0bWC/ZKVbOeLFd38fLzanK34/a0wFfcrXFEmS+Kf/819G/LeP3L5nQXZ/hr+6yfu7EivHZxjsu7x1VNk7blHZmaNevWIl6+PklRJv9ONUzMZRAqtim7vImLTQI5A8xVVcQVi08dYnQ/d0yVJyiEW5QTYyJC4bEEqc4SosIyzZeOsTUFbSWGqPGBsC6o4G1cCKBgdyjRGZUWRgH1C0CGQ1GtqAbNBB3i9jrj9ibvTQtZQo+lrG6j5dXZ+GSUnN7GKgcSCqjGgEGbPDHq6aiK6iQKorGfc6kzSLosxA16FtHFOz2Kg7VnlRGKO+HlA2npEIBbFp7axdyGjWE9wvNSjMb7NfGKO5GVAxnBEPBbDqHIQvZDTrcS429D8vtXKnPqYV2GH5dYuLUJkFhQ/11Q1He14+nzFQ7L0lv7nD1usxreATv/9P/AM0qq/G6oMpXw9MBX3K14zBcMw//P7fi1YMcGgvs3fSprQ7R7NyRSgX4OSVnNmzY5yaF3zR12b3IMdgNcTdKM163MHNKwPG5BHz/T2+uAnW7CnzGSNmU4jYukilVyIYT2JvbjJcUfHapcCdPWEubcBoDnG5LlLulQnFE9iaGwgBNUUH3KvVdCQ+8jw3N4qY6j10bRXK3peunMPSo24fkzeqKMjVkw1GcgU2ccxsu4elKqCoqBm3RUaDGn2KDDWNieBbFNRNTvoaF6LKiEouZ3bQw10bo0rIqcmOSYQcyG0+dm5E+vlHHr13ZHw7RHoyHBcCVdkxqYAD7D524x9fc+vb4b17Jc3qIfHtLT53JJG0RZFmN5h/U+F4Y0Sk52V4e8bF/jJfiKrJqQ5ohHZY/aDDeeCJOXUA+e053/GX/ifsZuO7Pi5TvgpMBX3K14R6u8uP/Le/m9biOsrMEQ7NC95faLB7UKATDpDrJ9hIurl6T4cpfszsYI+fWR+w+fYGxdIGF5qH51SMDSl3jv9pnWpE4EIrsZg+wZOfR+31cBwSGFdvCcSLWJ+XWZxrYSl9hPthHs2Ml5MQjKq3+FNPqNpm1JIT1Yee59YeNZvEg0H50QYjWb+KvlPAWquibwqoOzpUAxtqmR25So807NETy/QVZYaaiXVu3WyiYXQxVtm+ZEORtSqgqGgQW2NGgwZdigw1de4XNTRnwry8H0OqScl6RTy0zoJMi+9cQaMXJR0QaHjWeZkdIaSalKyXJEIR5gUdS+cyHtRvyUd22P5gxPVsCottFetxjsMdPS9KNlrlI653NvnckUDKeoY4v8niBzVOIj3WBrOItxdkdkMEDu74lu/7q/jm57/yFzvl65qpoE/5qpN9KvATf+H/yv1WgMXDOzIvfViuj5gd7/Mzaz02DxLIliLEVDl2LjTcvWdBdneGr/acijk6w+DY5cBeYe+kQ3nXS7GVJJAYYtKEyUREbqUOweQFjvIags/EmwU5xocovqT0fM2YW6n7JdccLKgYjgbI+pVnC90auqYCdUf78yx0u5YhBatAXq2jK44Rhi1UvRLGZpmO3kRPM7HOVcqVeIc9PI0xhrL8I+vc4bhMT/6hV/rEOrdu8iCqbEhKHbulDvpLkbL2hMTKIkadm/WYQKeS5n6xzMPCLnsVEcPlmLL2hPjKIqYvuabCcG6blQ9aRINF5pR+NFcJjvZmJqmV/ltyGztsvx4Tn01itK3hOMpyuK1jr2KnUzzianeD/ddtjveU7Lxtsf69v5cX26/e9fGZ8qtgKuhTvqqcXp5x8Nf+NhevrGy9aXO4r2HvdZ/MezYUt6f4Gpt8cWfM2uEFOucuh7YyeyddSrteWuVLQvkQR6/kzJ8d4dS+4GcXW+wePCCEghy4BNx3x8zfWjBY/VyEJRqdAsGbDPZPuCp67g6Zv7VjsPqer5m4M1pbEZRaEzxPfRbNMrIfmm4NWqi7H3u4aDoalH0jmmdHRrlOhmjv0zBL6JqgrKqRvsRJsU7v2dOlZnHQ1bkQVWaUciXuYZ+Z1sTEi5qGca9LXX5BKmhk5AzyIikxyBZ5cqVIBbYJD+S4L+RUpVNSIRMjR+D5mgJPrjTJwDbrAyXmwwqnkQFrAy/i7QWnL0J8U1RFTnFIY3mSWrkIPOFVB9HFkhztu/jcnYlS5y33mzvsvhlxECqzl3HwNlTnRUyP/T/f5Td/63e862M05VfIVNCnfNX4qZ/+CR5+5Kd5szXiVUzL2+Um+ykzbwJ1do6HFPe9dItRgo8hjl5ORNuhe8kXn1Mx3bCffD9FJOkm+p4W2/Xxc1TfZ/0oik3aprAhEVWNCSSPcT/5UM66OAh+0nlxi0Jk/HzNCe4PLQACAmL9Dls1/3M8XBzPHi4yxrYeFSsfWwIMO8gGH1oCNNE3FSh7GsaqPh3DkIZJQ83sYay2I35ixN9Zk1CVVR95uvQoMXj2dGkbRaoWJx17iJf5EfJEl5L5gmRwDZfKxPK5nGb7mltfj8rcJi/zYxSJj10YPQozyxcC9c4lZ5vOj6Lty70NPn8kI20+R1yMsPB+neNIj/BgFjFzwdl+kG+61JCXH1Ba3SXyfpcL/wPBQYCMLE6gG+LSeMt6ZR7Zhorv/H1/bjqI9ClkKuhTvir8+I/9D/S+WObc+8BGZZZLU5rljp+04obQcIUPZhvsHpVoRXw8dZKEUzPEPq/FdnmEV9rjZ1f7bL5Ngn+NG0WerZiWzHuW56h+i9e7cvQPUXxJBSb9GvHImIfRJ8b7gzreeOVYc+cspdQYDSvcRMYUBg0CiUsc9QiyJS1lp0RWo/5oiOjDnnRTs4OhpUTxPESkVtife9L7NO3PLY5KNWNxjCAoPuo9N1dkCFU1UmdEf1ilLxQZapt09QOaJjU184fDRnq0gozZQQ9XRUKR5BPj/PPsXIq0C1keZh+5+2jkX/z5tgDFO/LeJ7L+Xb6QlFFpH3K3uc3umxFxTxydM4LrMMfRlprdmoNO4YjLvQifP5aTMZ0yXNxi6YMap+Euy6NZOsVT5DM79ArHGC07VNrneFTrjLWP/KE//feQy6ai/mliKuhTflWIosQ/+h/+OPKShTvZNV7FKqXeOSbTJr3yCXLPNuPHA7zSLv9huc/2QQr8a1wrs2xHDaTeM6HKnLLU3OZnt8esH0bReLY5NhXZPR/xtOem9xQlmAvRiig4MsmZTx3izXvQO+c5fu4zD8UfsA23qa4LnBphIXWMJ+/5kl50XyqHum16HiKyPnex9KnZRB5NSp7kKqTRAGFQQ9cuYqmXMTS/tMVRpjIgjboMxMk+0YG2S9s0pm4y0zQ8Dxsp1VjFMbPtAdYKyCoaxM6I4aBOXygw0Na5XzDQdod5eTdGzEx60BPBTZZQs3ShoNq/IB1U0v1w5D9TpeCKkwhsEhSVzJ4ryOkPKIV3Wf9il5gvj1sXwnCR4mjXwXt5E5XWAbdbO+y/GRN3x9G6wjgPHzjeVLLdcNJ7OuFxawPv8TWlzVXM0Qt6KxsoU2cIc9uoShf8vu//UXTq6QKNTwtTQZ/yK6Y3GPGPv+87EQ2r9ItHCLNbyG/P6QQ3MF1GKUXCuM8SPG2FUN4dfyzaBzE0Mx+L9uO+m+FjFH9hlcMXAr6TUyymPV7P1Ng9qlHfWuKhlyaQaGNRRrhfH5OU9wnGz3GVlsFn4e2CHP3TJb7kCIsqwu3GiBQ9QvFzHJUVZEtmDhZUDMZDZIMKhnYRc72KvilH3dZ+YhH0pCjasw4pWSc59p4kIgxaKPvlSVFUZ6KndTznyOXMDPt4GmP0JTlSQ4XY7f6cBdIj6mYjDaOTscqOoNSyU+yhuxpS1p+RCC5h0jtZj8po11LcL9Z4mt9hvzxCezWiZDgjEQo896kLNOsJskstpJkNgu83OF2rE5QWkCWvON5b4pvjOh6ltxSfxf7Sl8OlC2G4yHC8Z+VVzvIs9ttsvV/l7KWByOsSV69cLL/Jkt5fYO4kQXFjGVcsxn/+l/4Rbpv1XR+3Kb8EpoI+5VdEpd7kx//876UWWMcUi1HcWGPmJM7dnh//2xxXLz2EX1c5fWVh84MqT/szDB6jBAurvH0px3d8jNW0z+uZ6keiXa5fE75f4PSVGk/sEJfiBV/0d9g5yCL4Q7z1CHjuT5jPmDBYgsTWRWrtIsFEGnt7i86qgkOHHM/tIXN3NvRWP9EwNDqPk3V0rQgKrQnBMqBtG1M0y8mrNPTHI2SDJupeEctHzooqFH3zc1F04pM+tg5oPRdFVTU1YlNg3GvQFcoMldWPiqJ1s52u3s1YZUIuV+EZ9ZlpflgUVSP2ejTkUZJBAyNHiBcp8RMFzx3WB3LcFwJV6YxUyMzY4Wc/LtHPPfE0c0fKv81GT4bpuMzRpkikPcMwe0J0f41vOpdzq52YdAXfb36J2J/sLfFNcR0P4ltK67usf7HHwUabF9d6Xq8P2D+VcbgLe4cDTl/q2XhTJfbSxsqbHN/85/8iq77guz52U74CU0Gf8ssmk83xv//f/yTJHR/BwwcuX7iJvKlx+sLIzkGfgx0FL09lvI0MeXmp44P1LjuHH4v22v08p+9pnk259vmiv83OQY7+cog7MUMk7uD6PQPm+CGzw12+uDYgfBTFJu1QiEBUPSKQOMZd8KGac03W0RUTBBJNzLItHtfHXKtHH3unz9s58MuQapOi6MRZUYNyaEGDE4XKgGAUJkZdNoF7jZqmIDzn2Msf5dj1LSWK56JoVz+kYVJSN7u/JEfuHfRwVcWJNUBd8bEhl7LKQNel9aEDo32F/ccxypsuRfMFidAyHpWZ0IWcZvuG26Ue5blNXuZHKBPdj4qiMwoTwQsZjU6Msy0n+yUHrcoRNzsbvDoUSNliCN4I829LHG2KbLY9DLInnO+H+eYzORn9KV3f1kTsww02qvNc6tKEq4ucuR/YzLo58tfYvzHxJtzmxZmSt9sSe4dDlv/ob+ULL379uz5+U34RpoI+5ZfFwelbLn7whzh6qWf3zYjDXYEXp3IOIj32r4wc+qvsZp2cuXOsV+eJ61OEm35+Nthl9+CefmiFWzHDRtzGzSs9xsQJ84Nd/sP6gK23NwhLm1yqsuxENWTes6K4PWGpscWbPTnG3AWLzwXP+EfmWzc46xGGyxreehTYc6fMp3WYjctcRkRKvQrBeAJ7M/LRpGhWpaYjSQijNopeCUujgLHeR9dWoegZ0YoOVEorgk6JaO3TsIrkjSqKciXSaAQKBZbxmLlOH2tVQl7VILXGDAcNekKRobpBT9enaZZRNTsZaFyIKgNquRLvoIe7OkaVlFOVHZMMOVBYfWzHRXoPjzzO3HPr32GzA7aoQEV2TCLknhhzXX1cOL337fKF1JcWRW9mkhjtk37zgx09L0pWmpVj4tubvHckkbTFkM9uMvPmieMtgc2mh1r9BI19m1rjDJd6g6x4ydJolbguzWpjiXNbjs3HGQ4Xy7xImDH8phV+y7f/vnd9DKd8GaaCPuWXzL/+X/8XSv/iDW/We7y8MXLoq7CXdXDuyhGuzRPXJ/EPQ9xLMbzqMOXWGQbbJq3qMYu9bf5DZMDG2xuUixvE1Hm2L9QTf5e7M/z1Dd7fllg9jKL1bHNiKrBzPuZxz83wKUYgH6KxruDEILGYOsbz4EU7M8dxSGBUTROIl7GJ25Q2JC7UY3ypEzwPC6hmPRwGgXIGX7qEumNFIzlRqkwIBhlja5+aFe51GmpyGQz7yAdlDM0Clnpj0qrYneTYNTIHgkqHNOrTf15aMdK26OhHNExa6mYXY7UdSTlZBj3X62OvSqiqzy2M/cZHa+nuF5XUZyK8yI+RJVqULDESy2vMyUz4o5MIPB2ApmedF9kRQqpB0XZNIrjOkqBj8VxOTvOGQniPyPs9Ln1ZXLplDNEURzsO3subqbQn/ebbr0fczCYxW9ewnWQ53DbyomChWTukEt7GcRGjsRpBmzxFWthknD9D49yhUTvDrtvgYXjJgrRGQpUg1PZDQOT3/eHvn7Y1fh0yFfQpvyT+6T/5K4inbaL2e9aai8S1SXzjEPlxDKdmjXrrDL1tm+HTEeL8NsrUGa2VDawXMSob65A/xV+N8P6uxOrROTrXLkeWIrtnQ572PPSeoiwXV3m7B/6TM4yWPd56Kuwetaluz1HsJAjEh5i0YVIRiXuxRegmiqMWRgwaeOuVY82fs5hSPbcsijwN6gQT1zjr6wyDOg69KsSPDLcKmBpddG0Fiu7Ev0WtsCFoJ/4tDTs8GeU8ytWI4wHCsI6uXcDYqkzsc/UuRJUVQanBPh7hbfexViZuiuPOiOGgNonWtU16ugENk4KqxcNQbQeVkY16H2vseRNRaAa1dZ7tS4l28Z4H7yNZ3y7bTRFjVKKiOiUR8qI3zbIRk+iUM2QXKgzmtll53eZ8ucSi4EMdv+J4f54vJAyTPPlzUTTqf8CrCaCLpTjcd/H5jJFS7y35jR3CHxSJvrSw9uaJ1L6XheMUT1sh7BeXNMNhtDfnDJc2kOVOUbl2aFZOsRu2GHPLH/pz/3hqw/t1xlTQp/yijEWJf/gDfwR5y83DKIpTG6HeOEXr2GL8cMJocRtV4pTW6ga2i0setleYO0yR2l8k+OaJy/ecrL9fpLQzT6cUI/QY4uCVnKXjEyzPRdG9owa1rXmqtUtWcn5OXimZOzvGoXvB+7N1do6LiCt+jmwSc5kjvLlJy+LJGgwrd/jjT1jHO1TW4VwvsZQ6wf0wh2bGw3FIhlhJ40+UsA63kBs0iM/+LXm9mrJcjjTsIetXMbYLmOt1dE056o4WzciBSmZDrtGBeUTXNqJmFDB2wFCRIdVUSL0eg1GVnrzEQNumYxzSMOpomNzP0boWkyQx2+1hrwooq0rEhkRDvCTjl2jMRHiRHU+8WmyXJILrLAg6Fi9kNPsxUkEZHVeY/bsxYqZKyREnHtxkeaTCcfjcTz6YhdsY5/sBvhBTca8+ohXYIfRBi9PVGgFpAXnyipM9H990peZBfkhlZYe1Dzq83e7z4kLD260xe8djjvfVbL1tcvHSQvjNI4n9WZaOEzxsr+A6i1ENhzHcnDPwb6LPX/B7vv9HMeo07/qYTnlmKuhTvixjUeLv/zffwcAaZpw/Zry4iTpxQWNtHfv5FfntFeYP06T2Fwi+fSL6ysXW6zpH+3r2DsYcbUvsR1W8jgzZPqzQjPgota9ZvVvg7JWamegRTtUe7y+12D14oh0O8NRNsJb2Ev2cFlfsCJdiny/62mwcJ7EoN7mNiNxJHYKJKI7KGviNvJmXYcpfsJSSY9KtEV8XeRo18CcucdbXGQV1vPUqMD3FsFXq6NoKlF3D8wCRDUGjRrD0aThEHg0KnpRqxNEAYdhA237CXK987JE+1DNWdJ+nPkfUTRbahkm0jmLifT7TGmCt8nOi9dJk4EjXp27RUJzZZKsJlqhE+cPhIcscW1fQKd6Rny2Q8+2wU5MwxMZUNGfEV+Yx6Tysx6BVSxLd0BNpeRjkTojth/nciYyM6YzR4gZLH9Q5WZ9Mio7uzjnfW+abokoy2hP6vi0C7zc4WW+zUZrl0nRLpDjH0VyRvbSdtysNXlxoeLM15sWRyOFLJdtv2ly8NLP25onECw/+g1uye35mz274jh/4J1iM+nd9XKcwFfQpXwZJkvj7f/EPUHTOTcR7Z4WFgxSJ/XlW3hSJvrKz+brJ0Qs9uwdjDnYkXp4rebvW4UXCzMl8gY2Cl2vLLev1Rb7o77FzeE9vZYX7UYqNhJPL93RYr47xCnv8bKjD9sE9g9Aqd+MUGwkH1+/pMd2c4B3v8v66iCd9gjfrQuda4GxVoFe7Jxh/xDbaprIOZ3qJxdQJnodZNDMzHIUEpEoGf6KCVdyivTImY1FT/QWicn1TgaqjRfNhP7pGC+YRHduIgllOXqVmII5h1AW5GrlCjWfYY6Yxeo7W1Ui9PoNRhZ68zFDbom0Y0jB9GK1PTLlMksR8u4fjRkmj83GU/jI7glSTou2K5Cei9MYgRjIgp+9aZT8jIt5WKbgSJIMbvHrQ0i4eEd/Z4OXRpMNF5t3Ae/DEyabAVt1N7+mEy70wnzuSkbJcIM1uMv+2yPGGxEZ7hmrjBL1lm3L7ghlFmLQ8QagbIGa+Y6Mwx+GHIr/cYD+q4WBrxN4xHO0q2T1ocvaemZXTW/7Lv/kjU1/1rwOmgj7lF+Sf/OCf4mGswXWRI/rSzuabFkf7OvYORQ63RF5eqHiz2uZF0szxQpGtRw8x6y0rHR8ZxQ1z8hWK3XPMlg1a1WMWBlv8THjI5tsEgi/MjeKerSsTiVdG9Mlj5ge7/MzagM2DFIJvjbjins1LI4lXJnTpUxYa22Q3IPNRdL4KASNv5uSY8xcspRQYdavcbEg8DaqT7pfG+mT1nFuBLX/GXEaGZuRGqbAh16qQLD0adolHo4onuXKSKx9U0XWKWGpV9A1Qd7WoBxbUgh2F2oigB7rC86aiMr0PNxUZx9TNJloG9yS3rtBgE0d4O5NpUXlVzbg9ZjSo0ZUVKM40uPdtsdGSYY1JVOWnJENuVLaFL8ml3/t22a3//Cg9EpUoDA9Jb2/y4hBunNdoXes4j3IcbWnZK9toVY5JbG/w6hDizis0rnWcR3mOtjTsl+00KsdUw1vYo5e0VtZRp0/Bu82geIrZtE2he4FXHiYlT7DcmYh8pDjP0ewTexkHB6EG+zEd51sS/tssf/j/8WPIplYB75SpoE/5efwvP/Y3yaVq6G7TRDfM7Ec1vF1ps5+0cDxfYOvJw6X1jtXOEinFDXOyFUr9c8zmTbrFE5jdRJk+o70SwXpxTXFrFcXdKUutTX52c8z64TWK+U0u1Vm2oxoy71lQZk5Z7G7zs5EBGwdxZPMRrtS5iafLKytC7oy5e/tk3H9VxqB6SzBewCZuU45InGtEllKnzDzMf9TZIpTT+JN1rNImhXW40oG8V8LYLGCut9C1FKi6z7lyuQ2ZVoPMPKRlH/NkVJBXTtbTCaMG6k4JS72EoSXS1ULNYqWrdSCpbQhyFa7xEE9zgLkqQFWN1BlOonVZ+XmR9IiGSUXd5GKkdeIVlQSjMpqdazL+AbWZjeeOlyYl6zXJ0Aqzggl/VKDRjZEOyibr6p5z6U/OJI+re+y+GU7aFW1r2E7uOdw18erBSq1xwO32s8fL8/vWk3uOdk28zFuotg6539wm8kGJi5dmwm/ypF7MM3+corgRwhq7oBuKIL87Q+HeoVs+wWzaotiN4lWEST8bel0Zb1nL2UmF1czWCvzhP/8Pp90v75CpoE/5En7q3/5LUv/2hEH1mtSah620icvnyDuluGFBtspT/wyLcYNu5RTFzAayuzPawS0ssShPm6vMHaVJ7C+w8qbE+SsrG69rPOy5GecvJjtD9yTWDmKovDtc6B/ZvhDIvnTA3Sm+xgZf3BJZP7xENbfNuS7PzoWcpz0nt0KDYPwKZ22NUdDAwYwMW+6c+YwGk36Z64hEaVAicJPC0YrQW1Fz6JDjzJ0wnzFi0ocQ7YMvKYgy7CMMKhhbRUyNOvqmHFVHg2ZkRy3YkGn0COYRXeuIgkVBQaXCMhziaY4wlmVI9UlhtD+u0pMXJwsvDCOaJh0Nk4ux2oqk0GNCYrbTw14DRVlNp5Ln0Zvl1rdJuK/AeQ4V2SmpoA2ZdYnduEj3Mc+D94F73zZbLQFzVKSiOiUe8mIyzrL8psv1bBqrZRXL2S1Hu1Ze5sxU24dkN7bZej3gZv4Wu2kFw3mG4107792ZKA0OyK/vsPm6x9v1Di8udbzdGrJ3LHG8r2LrbY3YSwcrb7Jk9heYPUlQ2lzBFLtgEIyguD1DPrNDt3iMybLDrZBhOaOitOrGrR3xe//YX37Xx/gblqmgT/mIg9MPOPuhf0VRFqcSXGLlRklWG8dm3KBbPkbu2UbIHtH1b2O8uqAcCeM5uSG9GyB48MjVSwcbb1sc7mjYPxE4jPTZvzHyeqXF7nGXwp6X/lOUYGmV17sCoeMz9M5dTi0Fts9E8vtOpPw5/lrko550tXebc8MjW2dDtO55DpcFpEqKQKKORdqgEIZrzYCl5Dnugh/FnIO3AQFVIY4/0cOiXCe3LpKU91nMnGNoKFB2jWgkByq5FUGvAGufugXyRhUluQLxeWvRxKCrNtla9Jx6UQkWhrTpy0sMtJPCaMNkpGFyISptyJQaTKL48dBRRY3YFhl9OHSkadDVDcj4Atg0DlZj0Kwnufe1Kc9usf84QhnvUTJFSYaCuFUWQudyGp1Lbv1jGjMR9rNjhHSda38Bh34F40Wa4107r3ImSt0DHiM7bLzucbmQw6UPYYilON5z87mMnqfhIaXwDuH3u1wEn1huB0ho0qzUFjnzPLCTcfB2pcn+hZqDLZHdoxFnL7VEXle4euUk9DbL3d4i3pMbys+GXrKZDZL6AqtXLQbzAbyrDv4vv/173vVx/obkVy3ogiD8JuAHATnwjyRJ+qs/530z8CPAAqAA/rokSf/kF7vnVNB/7UncpviZv/y3SdsfEdwBlmJd0vZHNM4gxuuLidHWaYLsjg/fQZ7YSw+RNzVO9ozsHg053JJ4EdNyGKhNho2cOdaa86SVcQKjZd7O1Ng7blLamaNdjLFcXOH1HgRPztHbdzm2FNk9H/Kw72GUPydYCfPBrsTKUQyte5tDZ43Q9Q32RoT+ippDpxzX/cfLLs7D0G494I9nsfc3aazJOTULzGaO8eac6JwLxJZllGUyGLZR9MqYG0WMjS66zsddLyqFDZlWjWDpUbdLPBqVFOQqpPEAaVBF3asxUJuQlFYEpRqbKDLT7k9cFatqxp0xo+Fkt+hA05r0oJvl1M1uBho7kkqPDjlb6QHSXZWiM0kyGCE4UuONCdRGUdJBDSPHCnupMcNskUd3hnRgi/WeAufFJJJPhlwsCHMYoimOdxy8d2+iODjgaX2HyOs+scUsHk0I3VWc471ZPp/S8SgeUl3dYfWDNmehCj4W6D+dIffs0KpOhohyo2t8wxCXxnvWi7Mcz5XYS1p4G+6wf6rkYBf2DnucvtQTeV3h+pWT2fMUOuMyl7NNFi/z6EwrBL71Bf+nX/+fvutj/Q3Hr0rQBUGQAzfAtwBZ4C3wOyVJin3imv8GMEuS9KcFQXAC14BHkqTBl7vvVNB/bSlUKvyrP/VnuPGNcarmsF4/cO0b41LOYblOc/1ihvCbKqcvzOwc9DnckfHiVMFBuM9+0sjpbIFI2cuNIYV/FOBhFMNqjNArnSDNb6LIHGPT7fLaO+k5r2zP0ypfsvwU4u2+jMDJGQb7LkfWArvnYx723IwezgmUw7zZkQgdX2Cx7HIQFFCV4vjifSzKde4jIhk6BBMxHNVlJJ+ZgzkZxocPWxhXia/D06iGP3mDoxJEpbYjGGBoG1KyCjxoVDQFAUaTgSPT88CRvqVE2dOjFu2o5TYEjQrBPKBtEdG2BeQ1FePOmOGgSldWZqRp0jUMaRgVNExu+ho7KA3P/i59HDURbUWO1JAz6jepaS9JBmfQmOfYvJboFG/Jz5XILe6wU5cwREeUteckVuawaD2EY8Ikkl9qUprd4sWjyCiV4nTXxau7D8V8m8jrAbHFHDPaENrLG473ZvlCSkdOOqSxssPyB03Ol+sExAWkdIy73RCLJ2kKm8uYYxcM/BsIuVM0jm2qzXNmFOukFQmC7QAxa5bIg5ejpQov4ibehDvsnym43FFiTmeYGfi4XpEwpdLMDP1s/aHfxs7G3rs+3t9Q/GoF/XPA90mS9BufX/9ZAEmS/sonrvmzwDzwx4Al4KeAZUmSxC9336mg/9rR7vb5sT/+h4iu6Ak1XMjzKa5XjQQbbmQPN1xuONk/lfM20ufFtYmjpRI7D26i1ntWOovcKa7xKFept85ROzfh/pR2MIItekV2exn/4R03LxaYiZ1i0+3xZrbGzmGd8tYi7Ur0WdQFAicX6O07HFsL7J6PyO95GD+cEyiv82ZHxHd2hrM7ibzPTBJzmRNm8jNo3F6OQjKkahp/ooZN2uApDNeaEUvJM9yFRZRzTg78MmjcYa0+YqhLaDsqlAMLGhwoVEYEIwwtA8o2GXmNmpYA0qiNol/B2ChgavTQteQo+xrGysGzeCupm10M1XYEpQGNIGNm0MNVE1FXFUh1OeN+m75Ypq+q0td2aRslqlY7XVuQ/YfJNqKi+YpkMIhHYSEUFWh0rkj7RVoz6+xnx5BuULTHSQXC+EQtc1GB2viM6KZvIub9A54iO6y/7nP5STHf9/KFpJ68dEh9ZZflDxqcrdYJjhYgE+ViP8iLN32Od+VsHTaJvbSw/DZPdncBz9kNtXAYTfIUZrfpF88wGzcp9GPMS2vENSlWmj4u7Dk20nruwiYGpQzBgp3bsJFRKU2w6OTX/fk/gW9u4V0f828YfrWC/luB3yRJ0h98fv2dwCtJkr7nE9cYgX8FrAJG4HdIkvSTv8C9vgv4LoCFhYW929vbX9n/0ZRfMsPRmH/0J34XN6EZ1u8NtDrX3C3PEc7qaHZvyIbm2EpqOXflWavPk9QmWBRDPA2iWM0ResVTxPlNNPELquth3CcJUntLrB6UONuzsH3Y53BLYP9UycUrDTMXz6LurbF79LGorxRDvN4VCD6L+qn1aZJT33MxfrggUAnzdl+BIR9jIa3EqF/h5rkA6r9J42xF6K6oOHLIcN8eM3dvQ29d5GJdTruZx5/IYu9t0A8oyNvlFJQqRuMBDBtous+LLOqg7ahRDswTkVcbJ5G8dUjZKnwk8oz6SHIlWuTMDHs4ayKaqgKxLkfst+lLZfrKKn1tj5ZRomE20dY7EVU2ZAoVzvEYb7OP8UZBbXxBOqhh4FjhRUpkmC3y5EqTCWyx0lPgjkFFOCcZtCK3LrETl+g9ZcnNPvGwtM3n4nKKgwMe17fZeN3najGHUxPCcJXkeG+Gz6V0PIiHVFd3WX3d5CxUJyDOI2SinL0I8oVzJafu7CS1Ml9iL2HkbWTI7smI030tkTcVEvsuFo9TFDaWsV5G6YU2kN+donRt0axdYNdFSKqzrCQF6iEvD2Ke1SQ0Ql7yYpa1lJz/7Af+e+wW07s+7t8Q/GoF/bcBv/HnCPpLSZL+q09c81uBLwB/AggwidC3JElqfLn7TiP0rz2SJPF3/+zv4W5+lpVLiQdNmuZSgOWrMXntLa1FH8tXEhljBpc2TLt+gtK99RyBb3wcgR/cEXsxQ+Rtg5NdDXunMo7CfXaSZi68D4Rrc1wZ00QyHs5eapiNnmDR7XMwU2X3uElpd5buU4xgeYU3uyKho0t07m1OTY/snAtknwulgeI6jxGBuLKPP3GBsxRAWLJxtCBD93SJLyli0q6RDENeahCIX+OsrjIK6jn0TnrV525BO/SgllsRtJMUSt0m8mRSUlBM+tAZ1NF2S5jqFQwN4SOR12JHrjYi0wqIfRj32wzECl1lhb62R8co0jSZaBk+FG811vEYb6uPuSqg+DBFM6zSlRUpzjTJLW6z2RQwXY6pqM5IhrzoTLNsXD77tcxVeFraZqcsob0eUNJfkFz241DaWInCg+yI/Po2W2/6XC7c49Ivo4umONlz8d6tgafhIdW1XVY/aHEWKrMkLSFPX3KxH+BzUSUZ/Rkm0zb1+gUu1Tq3siTBtp+o44HNOzuHK212LxQcb8vZOmwRe2lm+W3+uSh6TSWyhuH6HKVji4SlxPJVGTwrXFtKrDz/fGMusnZT4zt/8IfRqpXv+th/5vm1SLn8JPBXJUn6D8+v/x3wZyRJevPl7jsV9K89//CvfS8FlRFvrEbcU0dnW2I2WiPuraGzLDJ7WSPprmG0BtDFL6ish/GcxEnv+Qi+LXDxwsb2QZ/DLRn7MQ3HgRrbOSeXtjuC/SXy4xhW4zr90hlKzyZP/RvCt3OcvFIzd3aCxbjHgbvE7kmfx70ZRo8XBCprfLAjsXp4icq7TUyXYzuq4valFfHhgvk7CzrnIifLAqP6Lf54Bdtzp8uVZshi6gJPYR6F18VhQIayFMeX6GJVRMiFRZIqEWW3iKlRxNTooX0uhmpEB0q5FblOiWjpU7dJPBrUlOQKJLEHgxq6TglzvYa+DV2NRMNkpGV0IiqtCEotFlFkttPD8jxEJLbHjIb1ibuipkVPP6BhklM3OxlonbgFLStRaLQS3C11qXo32H8ao4hPUjCpYBCPwkowymSiNCDQ8qyxdyciZSo8udIUl3fYejvg2pvBZl7FdJ7heMfKq3sLxcEBhfAOkdcdLgJF5uV+lIlLzvZ9fD6m4lZ7ymhxC9fJDYXIMubrKKPFCOOnc4ymLR6HlyyOVrgy3BEpznK4WGH/SsfbzfEnOl9K3Lx044klMGlDXM73mY3fYVKtEFvqMXdzi0m9QmyxRyiR4w/+9R9BoZC/66P/meZXK+gKJkXR3wDkmBRF/wtJkqKfuObvAk+SJH2fIAhu4IhJhF76cvedCvrXlh/7ob/Mw1MfU/Keq5CcWdGLMZXjKijDK85gSt5zHZQxI3gx3WS4euEl8qbKyb6B3WM4jPTZuzFyNldgvTJLUpdgXghRaZ+jcWzA/Tmd5Qj2ixsy234Ch7e0wkHKzWtWc4scvVCy9FwIPbUW2D4bk9tzQf4cXz3C+1tj1g9vkM1HuFHn2LrUcb9n5VEsE7hJ42hPUizHNgH37QlzWTs6xyLnqwLd2j2B5BO24SaVsIyoQWQuc8pMfgaddZa+a/i8qUhNjzEMWyj7FSy1J0yNEZq2EmXfhBYbCoUVuU7OyDKgboO8fmIboBdFZrs9bFVQVhWITRgPGvRkJQaqBj3dgKZJRt1sp6dzgMKEUq7EPRzgaQzRFRUMinWK1htSgTUWMDB/AY3hJZmAgr5rmd20iHhf4dGVJh2IsNpT4YpBVbggGbKiMi+w8bbPzUwCgzWM7eyO4x0TL/JWKu1D8pFtNt/0uFzM4dEuo7m64WxvlveutdyrTun5NvG/qXK8r2D7eEB0z8TKYZ67nQU8F9c0V9ZQ3F2gdm5SbUTxKtZJKJOs1pc4mXliN2Xn7VqbvVM51ztqDLdpvJ0FEqsKdPdpvO0FEmtydHeTn+NrchYf8nzXf/fD08GjryFfjbbFbwP+JpO2xR+SJOkvCYLw3QCSJP09QRC8wA8DM4DAJFr/kV/snlNB/9rxk//6R7h9Pw7Fa27WnKyWbIxL1yRWnSyXbFC8Jr7sIFh3IDzGuYo42TtTcrDWZu/WxoUzx2prgTvZNS7NGu36KXgjaBIxyutrzB6nudmfI3xQ42RHz94pvN0U2T6qUtlanHS3FAO82ZEROpkshL4w5Nk5V5F5aUWZOWOxt8kXw0M2DlKI/jVSsjsiVzqEBQeHCwL6xxi+pByTfpmbdYnisIY/nsTZDNNbVnPkVOC4P2H+zozB7CMWFqh3H1hK3aNrPfu1CHYEnQbBNKJtEymYFDyqnnProxbqThFzvYyxKaLuqFD3TaglBwqlgfGwS48yA2WNvq5PywQNk4WO3gEqCzKZCud4hLs5wFyVQVWF2O0zHNfoyUv0tS3uF62M7UH2UiLDbIFHzx23vk3W+gqcUYmKcE4qZEdhXmA7Dp3CHbm5Eo+LW2xVBPTXPRKzKTSuMO6jB4621OyW7DRqx9xubbDzdsT1bAaHcRX9RZrTPRfvpfXkpSOaoW2Cb5qcrrXZKHi4cD6ylbFztNph51zgZFdF5KBCYt/N4kmaSiSILh6FuU265XPs2gj3YpxAL0jUmiVyayS3aqRduyWYt5APWyc/5ww8rttp1TOEsiby6zZmxi3+wJ/8G+/6MfjMMh0s+gbii69/mst//m+pja55CC0RTqmpjj/+uTa+Jh9cYO1eQ6MbJ7vsJZIycm3JEBgGeRhdYDWt0386Y+iLYLq6Jr8ZZOkwx+W+k43DHiebAnuXWo59FTae3CSMGULdAIfeGjsnLQo7swyeogSqq3ywJRI+jCPMR4ir7ti8mni3GG9OmGWXLwY6bB3l6C2HuBXuCSRq2IQI2TAkFV38ySiuchAWrc9Cf4kvCSbdKol1eBzV8CcSOOurjAJ6jr1KxsM28l4FU6OIudlD2/4w7WJHKbcg06rAOqRmlSgYlRTlCkRx8Jx2KaNv1ujq9LQNDkSlDUGpwToW8bb7WGogryong0TDOl2hxFDdfE63KKmbHQw1diSlkfXGEGtsTEV5TjLgRmNZZPNqTKc0Ee6HxW22q2C4HFDUX5AKLWDTuFiJSjTbCTK+ATrrGnMHBY43BDYbHjqFExLb67w8Fok7b9Db1p8jdzMvc2aK/SOKa9uEn/vQ/eIi7coFWtsG5fYlc9IKN4Z71gteDn019mJqjrZlbB02uXxhI3B4y9NmAPNVjJE/wvjhHKN5i4z8jlBaoBHw8iB7YCUxor20yL0iz2pySHtxnnvFI6vJAe3FJWYW9PyO7/y/vevH4TPJVNC/QbhMXvPBf/8PyRqz9Of9BGIDsqYs/Vk/gcsBOWOW7pyP4PWIvOae1tIiobiMvDqO3rYBuVM6oXVsF3HutvwEDotE98xsnYw4jIzYi5uJzjyw2pzn9sPovXaOMLuOInOCxbzDka3A7plI9oUD2d05S91N3g8P2DjIMAyucj9OsZ50EX1Phyt2jEu5z+v5OlvHZYarPs4tI+bTp8zkvahmvRwGBOSlOP5EF4tinWxYIC1r40td4ioFYMnK0bwMbeEKX0rEJF9FZpZoO0SKRjmPKhUDaQTDJspuGXOjhKk+QtNRo+ob0Uh2FEozMr2MkXVI1QpFrQrrYIitJqKuKpGaMOq36AmTiL2nG9AyCTTMFrpaO6isyOUqnMMBnuYIUxnEuoJ2N839fI3iwjY7JRHdTZ+iLkZqeQGb2sVKTKLZTHLr61H3RtjLi8iTTQq2G1KBVZZEPe7jGqdrHVb6c4j3F0T3QnzuVE7SEkM+s87M4RMnmyp2ynbq9WNym5tsvulzuZDHow6hjl9xu+Nj4TRNJbKMNn6BzLtFq3qOU7VOWplitbo0GS6KGziIDNk+7hN7YWL54IH7nQXcF9eI3jBpQ5Hl6zqSK0jcUSZ4VUJuX+HaVSUQe0JpX+HKXSMQe0LhWMH36yL8xv/zb3/Xj8VnjqmgfwOQLxX43/7M93E938JkXMJzWeRmroPZuIj7skh8roPetIg3ViXlqaKyLTF33ebe8gjeEJ6zBMm9RVbfljjZM7F7InEU7rGXsRJ1ZAn1lngYxzCbI4wfTukGIthiN9xt+ggelYi+cLJ0eonGs0VMl2PrUkty34wxccKMsMMHvi7bhw+0IpM8+0puntN9BXPnF1iMOxx6Kmyc1DBaAlysQaeRw594wj7cpByREdMOWUidM/M4h3LOzZFfhryYwJfqYpGFyYclkqoBc7dRjHUZqp4Ozdjx8yLyR6NqsvBi3IdBDW23NLHWbQiouyrUAytqzAxp01OW6Wt6dIwSDbOBlsHxPD2qwTwSme0MsNSkZ5fFEePR8/o5dZOOccjdYgCH0s5yFJqdOHdLA2oz6+w9iCiSzef8egivYMYfg1r/knRAwdC1zG5KYpQrEFtpsyT4kCevOdtf4L1LNVnV2XN+vMZJpM9620v38ZTUdpjdQ4mbmQRW8xrG8zSn+y5enQkcRoZsnfS53DMROsyR31nCGrti4Ftn/HSBxbAxSbF0/Jy7nthOWzlc67NzNuZ8T4fvLIPKvMKNt8FcPI9JvczVUg93/BarLMRVYIgrkcEuhLgMDHElbrELQSK/61t5uf/N7/rx+EwxFfTPOPVWm3/+J76Hy6CahYEH7V2am6CW+b4H3V2a65CG+aEbfSbLdUCGWzaLNfFIYq6P0TDHTLTE6Y6WvXMFh6Em21knN9Y0S6Mg5f4FGvs6srsotZU1Zs5SxPfmWTuoc7atZi+q5MjfZD9jn6RXDhJIvjC3Uob1pIPoSy2eyzOs2l0OZ6rsnrQobM/SLUYJlZZ5syMQOrlC69rkxF7Ff53E1QnTWtFwYhOYuT1hNmdH61jgdAWG1Xv8yTK2cYTSuoxLzZD5zDkzD3OovG7OAwqa0hhp1ETTKf+cHPnE30WuNCIzCgytIypWyGs0kyGjcQfZoIyuXaerMTJW2xCUBrTImOn3sFdFNDXlpEDab9OXKs/DRANaJmkSsescoDSjkKnZeuh/JNzJ0DKzkgn/JdS7V2QCAh3XGrv3Y7it8uRMkwmECfbVeKIfF0bnhXkM0TSnu3Ze3Rl5Gp5QWdth7XWTs2AFn7SIkIkR2w3w6kJBynyJ0hPGfZzneMfAXs5CSnHD0ijIpTlPJOfmZLnF1hmc76tZOyhxt+vFfX5DJxSG3DkG8xYPwyuWBkFi1gc27x1crA1xJrM4JB/xEOhv08x2FkitKVBmMyzUvSTX1MjzKRZqs6TDk5+XarN8/s/8EZaXgu/6MfnMMBX0zzD94Yh/8sd/NzfLblaezAyqN2RW3aw+munVrkmtelgtWhiVr0ksOwjW7SjyaeJBDTPDGczpHLEVGZFHFwlDhnmC1NvnyN0R1KkopfAq86f3XO652DzocrwpsHNj4GK2wFrdy60igUu1Sq1zxmI/wgfLHbYPHmiGA1RaN6zkFjncl+M7jaFz7HBhzrF9LufupQP53RlLnQ3eXxuyfphCM7fG0SxYchcs3OowmPxEw3KanTyBeA57b536mopzk4g3c4Y370LrnuUkKDCu3+FLVLAO1lAYNYzNQ2o2yOtU1OVyxFEXhjUMreLEVrcpQ9VVox3ZJivo1PrJ2L9doqaXYeyKmCog1lVI3T4DsUpfVqav7dDVj6kbtTTNDkS1DUGhRy9KeHsD7DVp0hXTEKlzTcYv0P1QuO9qFGwp0v5VliQDc1GR+jhGKqBFdATZSUoMcw/kvTlyvk0iDSXaWJbjLS27T3bqzRPuNyKTNsa5LA79MvrLJCd7M3w+qeNOdkLP/9zZsjFis+ahWTmhtbyBLhlDPrNJo3aOR7FOXHNLuOTleKnGbkzN8bacyFGV1K6bubMkjdUV5HcXaOybFDtX+JqLJJZlqHK3zNdc5Fb09Cp3BJ5MPK7aabRuCd3rKK04qfSyLGeUlFbdlHv3rN5q+La/+v147I53/bh8JpgK+meY//FPfSe3ix5WbpRf4qBYlMUp+ZdYTSmpiQkegvOs3mtpt2+4XfYQLFmRPSW4WTYRbLloNi8QvOtoEpcUIsssHj1wuWtn82TI8fqY3ZSRmDNPoLfI0yiK0RJBzJ/TCoVxXsTJ7SxjvT7Grt7lwFtj96TF446X0WMMX32NN5ERa0dJpMUwKfktWwkrVy+MWK6P8ch2eONrs35yj0Wzxk1YoDiq4I+ncDbDdFdUnNhluG/PmM1a0dkXOV8R6Daz+JNP2Afr1FaVXJhGuHIxzNUR6o4azciKGisytQHBLNKzjiiZ5OTVagaMkIZtlP0KxnoRc2OEpq1A1TeglswMhBYDVZO+bkDDKKdhttLTORAURlQyBa7BCGdzjKEiIDXkz/a6FXrKCgNNl5YR8nOrLEh6FqIS9dEV6YCKgSPETmaMlC3z4Lrl1h9huafEHZOeo3I7Sss8W1cSnfItsXUVa20vg4dz4rvL7J/KSFqvULnW8ZzkONrWs/dgo9o94im8SfhNh/NgmcDYh3R3wdVeiJ23TS52dawePZLdWsAeu6LvDzMuxLBoJ8NGy7UlTmdL7NzoOd6W2DxqcrPrZOEsSXVtlWEhzlLFSS5kpNnOErxXUQ94yAuPrCaHdBYWuFU9sRrv0J/3k9Y/sXLVZjDvJ6l/Yv26ze/5Oz+EWjndePSrZSron1H++Y/8DWLlMkuxDin7I7JnB8WMLY8448N/2efenKc3u0ToRuRRlaGyuMDynZJWL0k25MFfsjAuXfIYCeE7fCC6Z2P7dMzRao+dWztX9juWRj6q3SgKVxh1KvZR1H615yRy2ON0Q2DnQs3pvpqF0yg65w4xY57tmJrkCwv6xCleaYvX/g5bh0+01v2U2zesZhc43lcwf36BxbTNW28Lf+IaVzXEIGjkyC3Dljtj4c6IwbRE7DlaX4rncPQitFaVnJlEZu7OmM070NoXiIZk1GTAqI1s8Nzp0hihaclQ9fSTTheFFblOwdgypGGFR72KikLOeDwZMNL0avTVpkl7olyLQZTwdvtYqyCvKZFaY0ajxqRIqmrS0w1pmOQ0LDYGajuC0oRakLN1N0S6q/BkT3PnD7M41jJ7KVIfX34clSdEhvlHHmby3PsirLcV2GJjiupzUqFZgn0Pqvg1Z/vzvHelJqc6o+vbxP+2xsn6gPXWDN3CKamtNfYPRa68GWyGFQyxJOd7M7y4URN1ZFkrzkyi8SsNJ1ty1o9qpHZdeM+TtEKrCPkLTMYIWTFBoO3jzFNiJ2HkaGPM1nGLx7CLeidH6F5OY8lLXvFIMNFjPLNEwloleF1EYV3m2lNn6eoBrWll4sx4lUdnXOFytsXqY4Pv+kv/+F0/Np96poL+GeQqec1P//CPoHx44sY3wqmax3r9wI1vhF01j+OmQHy+i9E4j/eqRtpeQfIs4L8Z8qjJUl2YZ/leQbubIrM6z/bpmOOVHltZOzfmWxbwU29dIHgj6ONX5DcC+I8KRHfMbJ1KnKx02czaiVvvWBz6eBCuCFaCvImMCR+lGfrXyI2SrN+6ON/X4I1ORPvYXmLrfMjDjofxYxR/fZXXmyJrh3F07nUOF2QYHy9YSqswGIJcrwlUBwX8N/c4OmHaq2pOreD5MFp3LHC2IqfXuMeXfMLWC6PU6xDNA+pWeDSoqMjljMUewrCGtl3C1GhiaIC6q0Y9tKARbMhUemRmka5FpG4UMHQl9GUBqalg3O0yFKt0n6PvrkGibtbRMrg+En3jWMTTHWKrSSiqCsatEXXZzaTI6Vhh53aMmK1QcGRI+8OE+mpmLqFKlFTAiGD1s5MU6T7myM8WeVzYYKMmQ3k9aUl8kTNT6Z3wsLZF5G2Hy6UCXmUAZeKK6N4C78VUpPUxBO86M8ePHG+p2X20U+mfMp7bQsxfYDZukBPjBNp+zt1P7KRMHK2P2TxuEd9zsHCeprayjPw+isG8SW58Q6Dt49xdIpwUaSzOkFc8EEp0EN0BEo4qS/EntLoQN/M9XMk77EKQ6+AQa+oWz9D/Jc6Md4sK9ldW+Lb/5Dvf9ePzqWYq6J8x+sMR//R7voeqrs7DvIXAs4Pi1aqBYMuFIjvJkc8NZ9Cn70n4BGyaWVzXFW4dVUTPIv74kILinvKSl9WMloTplnkhSKN5Dt51DDc3ZDd9hI5KnG4b2I3KOfU3WC+6yaiSuFUrdOpnjOfXMV1fU4ysoEmf4mWL14tNdo6rVDYXaZejhCorvN6aiLawsE5Cfsdm3Ez85aQffYZt3vg7rJ3cYtOscROWURpV8MVTOJtrdJc1nDgEnPdnzN1b0dsWuVgRaD+nXByDCNWwnKhBxJmPYqmMUHfVaIZW1IIVmcqAzDymY5EommU8qlQMGSGO2ij6ZUz1MqbGCG1bjqpvQCNZ6Aut54nQIU2j7OekXJQ4ByOcjRHGCkhNBWKvy2BcpausMtB0aJsE8rMrLEh65qMi9dE1mYCKoSPITkZEfE653PnXWe6qcF1KVGRRUkEbSvMC29ci7fItFxtqIs0Zeo9nJHZWeXEsceNMYLCHsZ/ecfQs9oXBMfWVbZbf1DldabHSnaP/dE56a5XImxLX+zZ8JxnK68tok1GU7g3K7SsWxstcWvJE7q0cr43YOOlws2fFd5qhvrqC7P4Cg3mTtDpLIDNg7Fokaa+yGC+g1wSJLwyw3t7h7i+QXFWiyqaZq3m4W9MzLqQJlpzcrukZljLMF7UIRiff9ie/l1mP510/Rp9apoL+GePv/7k/yI1JgUFlYy4v0O7EuVuZZS2rp9uMk17xsFyyQDFBImRioeNEe58jsSBh0c4xk6hxZykznJnHlxYoyuII3jDGmxvuN30ED8uc7ejYuVRyMV9lre7hXkhgMawgPl3QCqzhvkiT3J5j9bjJ2aaKnTM5Zy/UzJ3FMNi2iZof2I6qSL2woE2d4RW3eOtrsnVUohHxU21es5Jf5HhPwcJZFKNlm6OZBv74DY76CoOQjmOnDMf9OfP3pomz4qqMTjOL75Mirh/jvT1nJu9B6/FyHpDTRIJRE2WvgrFextwYf5Qf12BHrjAh18sYWUdULTIetSoacgFx3EMYVNF0K/TVJsYaKzK5Hr0o4OkPnvvS5ZMul2GLPhV6qjp93YCmSaBhstDTOpApzShlSrayfYTbGk+2FLf+ZeYlI/PP+fRMQMXIEWQ7IzHOFnhwZ8n6Iqx0lDhiY8qqKKmgE9/Ii/omTnR3lpcJDVn5OV3/Jv6DCqfhAWstL73CKenNNfYOx1zO3uHULaO5jnOxP8ermIozT571vIfj5QZb5wLRXQ2rR0/kNxcw31whzYVp1q6YYZVrU5aNewfHa302Tvvc7JlZOr1lMLfCnb6EL1FGbQiQmOtjzdzjHiyQWlYgPN7jK1l4WLNTb90RuldRDc5QHGVZTgk0QjPkFSVMxTqeuoo/8Hd+CPl02fSviKmgf4b41z/xTzm8vsJZFFBUizyZajQXfazeSDwq01R8i6ykVNRHCXLBGUKPJsbVBKmgmfmeC8NtjoR3hN48x1y8TV7/SHtxicDRJ0R8rsJqY5Y8Vxgsq8jvL6msLjN7muNqx87m6ZCT1SE7txYu7Xl8gyXywjXBSoDXkRGRw1v6wVUeB3FW772c7amYO49hsm1xZnli+wLu953I7i9YbIf5IDwifJRGM7vCsVeGNXvGwp0JnW2R2KqMdjOLL/GEfRihuqYgph8ym7lg5mEG9YyHY78cain8iQbWURiZScHQOqb8LNZtQUIad2BQwdgoYWr00bZlqLtaNGMbKpllssHIOKJpg7JBjqk3xvycMxe7Qwaj2iRnrunQ1Y1pmhU0jE5GGhsyhQ4NiklrY11EU5UjNqAxTnDnH9F0h9nJicgzDQrWBJlgiFnRxFJMoj68IhVQMXaE2EmJjPIFcp4sOV+E9ZYSTTTH6aaO3aKNWvOU7HqYrcMhV/M5HOpldDc3RHdneXGj4U4TRZxfZ/bwiZNNNTtPNir9U8TZLcSHKGZDhDuShBqLnM2W2b7RcLopJ3xc5m7bi+PymuHiOt1KDI+wyrUpz0bWwclKj+XLCtiXSLpaeFJ5bNISqZAc+UOGxbKdQshKeZAjlJboLM1zr3oiFG8jegPETUWWr2rIzYuUXQJlZYNwT8bv/zM/+K4fp08lU0H/jJB7fORf/8APQqtI0dSm4jBjUjtZuGyQdJSQu5ZYvO6RNebozC8RTArUxynygRn8JROypzSJgA4PHmypIhl7HXFmnsDliIv5Gmt1L3mu0FvXUNzGKIeXWTh5ILplZjsqcOpvsV5wkdGk8KhCdKpRxgthTNc3PG4sY0ic4lRtc+StsX3S5nFnBjEfw9de44PwgMjhHYPgKvlhkrVbF9EXOtyxM2yabY68dSKnJQzmALFVGZ1WlqXEE45hhNKagivdkLlMFO/jDIoZNycBOUI5iS/ZwSxf5WFVTlrVYe72Cn1DhqanRS3aUcmtyHTKjwugOhUVhQxR7CMNa+jbFYyNOoYGqLpqNEMzaiwMadFVVBloenQNEg2TjpbRgaSyIpdNCqUzvQHWqoi8pkBsiYw/KpS26RiGZBcXsStdBK9EWq0Ed0sD6jPr7ObHKNJNCpYEmWAQr2RmKSZRGz5H7vYQ2ymR0cMDsdUBvvEi3F5xtePn5aWczEe58idON5VsFx3UWic8hTdYe9vlIlDGP15EzEZJ7Cyz8bbC9Z4F/8ktpUgQbfIKpTNMqXvD4jBIzP7EVsrEUUQkclons+3GGUswWlyjXb3Eyyoxd4XFZAmDxk98YYg+l8Nbd/IYMtLoPBC8h878HBl9gVC8ity6zPVMg8WbB/TaEJdzXcz5R1w1FQqtk5pbw3u//pv5ps99y7t+rD51TAX9M8BYlPjHf+z382Du03JaMQpWXAUJefmJG5+ESzmL7aZIwttGb5nHe9MhZ3qgPTtP8Lmr5T7gZKFhRZvLkZoX0evn8Ca7ZI05jJYV5HdRSuEVFk+eiG6Z2I7KOPPVCVc8ZIU4JvMK5GI0Qit4z++42vGwftzlLAK7UQ1Heyr8J1covRGSylsiSRtXL/Q4Y2fYdNucuMtsnvYm7YxPUfy1FV5vioQPk8jmwlwZnvDF8zgGEUprcm70Q2bTUWae5pDNuThZlKEox/ElB5gVK9yty8gKDRZTcdwVP9KihdM5JYNxF2FYxdAoYWp00bZkqLoatCPrROA1GgTTkKZNoGhQUFQpGYsDxFEDdaeMvl2jpzXS0dsQlBbkMjWWkYinPcBUBVlNgdgdMBzX6cnK9DVduoYxDaOKpsmBqLYiyPWsV4cYrgeUNDEywVlMOi+rV2Pa9TT3C22qsxtsFUTUiRYFyw2ZQAgPZvwxkdrwinRAjUPjx3F2x8m2iZ28lWrvmKe1DcJvO8T8ZRZZgswVV7t+Xp7LSNiv0dvWsZ5nON2x8TJlIGa9Y7k8y9lile0rJWebKlZPi+Q257FeXyPNhmnUr5iVVri05tnMWDhen4j73ZYH29UNKusqaWcLZ/oBx3ieu6CSUSnH0pOaxqKHrLpIMNlAZvVz42kzm7zHIgsSD4wwZu7w9hZ5WFJRkTcwlKo4KwJahYvf8t/9Bazm6WKMXw5TQf8M8EN/9Y8T00rYBwbsBQmh8UTZ0KEwa8XfdKLMZYgHNHgkN9ZUkeRMB5V1jsVEnydVlsqSF/+DHqmaIeXT4RDcOFMV7qxVpBkf82ePXGwZ2YrJiS7UWa3PkOcKnXUV5e0VhXAQ3yeE/tTfJFJwkdKlmZEtU+2esTAI88bfYuu4QmVjiU4lRrAc4mBDZOUojbi0xh0Zwmkb1/t6bFfnONVbvJ2tsX1Sp7u6yKWhx0I6iqe4gGzOwdGCAk3pksWkiFWzQnJN4EmqspRI4ayHGAQMnLpkmJ6iLGTUmLRBROuYulXgQaeioRAQx13EUR19q4Sx3kbf4rloakH9UYfLiLZVpGxSUFCqsI6GOFsjjBUJqalE7PYYjmt0FBUG2knU3jSqaZocoLIik+nRi+Dt9bFURRRVBZ16nvzMI/mlCOG2AuvliLIyRjrgQmecI3IzKXxm5xqUFiJsFUGTaFM0XZMJ+pmRrHhPq5yHWgSHC0j3MWJ7AV6dykhZr1C6wrhP8pxs69nNWygPzqgubxI6qHG62mWt6aVdOaMd3ECTiaFyRCh1rlgcBYnZC2ymTZysi6yfNkhvu3DFEgwXV+lUr/GyzKXlkc20mZPIGP/VIxp9gMRsH91Dnvm6nceAmdroAX9miORcJOlo4E0+YJYHSPhFdNk7Zpse7pZ1jEu3zBdVyHR2Kh4NZU0TeaXKUlnkD/3t/2lqt/vLYCron3J+9v1/w/v/v3+P5anPqFugYBnQcJgxyM3MPsroNZOkVpwEyzbkTxnifjVumQdHvMy9o87QM8diRqA9THPnd7DQsqO/z5GeGaGyelm87nG+1GKt6uZBusFgW0GZueZx3Y/vpMTFhp7tayXR2TKh1hyP4hV6yxryXIzq8gpzZ/fEd714L67RuTa50mXZutJx/dKM9foch2qLI2+NrdMWhS0vw8Il/uoyb7ZEVg+TyObDxJX3bFyrEOZcHM/L0BWuWEzJMOqCJNdklIZFlhJ3ONurtJe1nNvAcX/GXNYyKZiuyOm0syxkHtC29GhFO0q5GZlWhWQeUrcIPBlV1OQyRmIfadRA1y5haDQwNKWJwA9MqAU7MoUeadybbCtSVBloB7QNEk2jjrbRCSozMrkG41hipjOc+LnU5JOFF6M6XaFCX9siu2BibA+xdTtGzBZ4cGXJ+VcJ9DSTQSJZjHTAjNy8yGZSole4JzdbobCwwUZFQHfTITF/h966hv3sjpMdE3s5C6X+KZXVDVYO2kT9FZbGi3Af42YvyP6JwI0zidm0himW4Hxvhr3TIWebCtZOK9xvzmC/ijNeWKVTucYtX+VGnyWcs3G6OiRy1uF2x4EjmmA0v0arfsWcuMylt85MqohFNs+dT8G4lGWxoKG1MMO9tshSsoJW5yc5P0KfyzJbd5Nb0dOuZwnl1VSCHp7kJQzlBu6qDLXCQcOt48nYI6I28ru++y+868fsU8NU0D/F1Bot/uV/+310RwWKNomWw4p1bMJZkpDVypT0NSqL84SyajrtBLdBB4sNG9pclsSChEE/y2yyR1GVpbw4g79oRCjdkl5QYFbP4E52uDc9YLAuo85c8rgewHdSJrqpYfNGy5W7gL+/QKUXQ/CsYUzecB9ZInhU4WJTx9a1govFBlt5B2+CA7aOH6mvB2jWrgiWA7zdFFk9TCEuhrkTJtH55b4O1+UFVs0Wx94q2ydNypsLVNo3+FMyDIYgl2syGr2HSQqmt0ZtTUXMMGLmNor3wY1qxsuZX4ZYS+FLNLFIaxTX5CR0Y2T9MsZmCWOjj6YtQ9PVohlbUcqejbosIk0LPBqVVORyRmIfRnU0nQrGRgN9R6SnhqbZQEdvB6UZuVyLcSgx0+1jrknI6wrE9ojRqEFXqDDQtOnqRzRNKpomK0ONA4+oJXA5ptFJcucf03atsZ0XkWeqPNnS3PpDzIsm5mNj6uIVKb8ObAE2UmNGD49kZwsMFzYJvmkQDVVZGi8h3F5yvePnRVRO0nyN0rWG+zTHybaRvZyZwuiMVnAT/0GVk/CQ9ZqH3PiKWSnEjSlPOOfgbLnP+nmP5I6FuYsM7cAyo8crbJo1Utp71vJOTpd7bJy3SW+7cF4mUJlXybjbWO7yuHoeHv36yfdzP0J0LpJ2NnCmH3GMJumYQTlH4FFDbclNXv7IcrKHzDxL2SWjomyjKldxl0focNB2mfmPfvu3sxnee9eP26eCqaB/SpEkib//X/0e7uxyRjYb9p4R22MXqVOiZOxSdxpRaxz4EpOe8tKSl+CDnnE9SdpvxC26sabL3Fvr9D1e/DklvVaG2yUjHsmFLV3mzlJHnF1g4bTIxaaO7Rstl+4nFkcLNJtRxvNhbJdJkpte1k66nIdFNm4txG1Z5kUf9XYMmSeM8vYcg3WDS2OerSst8RdmLNfn2FVbnMyU2Tod8LDjQXyI4mut8GZtxNrxLaJvjTspQyRlIblnodHJspQs4xitUlhVEtf2mEtfMVOcR5i1c7ooR1m6Zik1wqJcIbMm40FWZz6ZxF31I8wZqThlPKlVtGUSothC6NcxNIuYGoOfJ/ByrQrMYxpWeDI8T4wyRCYoMA9F3N0h5pqEoiZn1Hl2VBQq9DVtevoRDZOSlsk2MfKS61ELStz9Ac7aGHlmSEl9RTrkwaD1sn49pl29JTvfojoXZqP0nGIx3JAJ+XHJbAQuRWr9a279MkaOFbZPBiSscdSuVdwnj5xtqtkq2Kl2TimsRlg77BDzVViQlpDdRbneC7B/IuPalcJmXEV/Fed2e4HZaJpWcBkpf4XZEOZOSBGqznG+WGMzJuN6R8fi2T21lWXIX2LVrJLSZgnn7JyujQhcPqE2+Eh5B6ifHpivmqks2nmUF/Cl66gMftLzAzT5PAs1K0W/jaL4QCA9QHQvkbBXcWRL2JpqFBoXDaeaJ0MXGiU8hR7moZ3f+Tf/BlqN6l0/dl/3TAX9U8qP/v3v57zXYKalwfjYpT8q8mQd07KbMAoWbFUZ+kKVtL2GNDOPPwlVKUPe72Kxakabz5GaFVGbvSykR9Ske3JLdubbdnTZPPeuHoJjFl98zJWnxOJggWYrynA+jOMyTXLTw/rZgLNgn/WCg1t1EptuBfEpStO/wszFHfFtN2snXU43VUROilQjPtrVS4LlEG8jIqsnt4z8K+SHCcL3Hs52VcxeXGIyb3JmL7J1IZLfdjF6jBEoBXlYV3Mnb7GQusZd8TP2mTmekWN6uGAho8Fg9HOzKqPWe2IplcPRXaUV0nBhBUf2HG9Wj1ZyoVAaEIzQt4pUTDKe1Gq6shHiuIswqGJslDA2hmjaAuqeFu2HAq9TIejHSD35x5a4QoW+pkNPN6RlUtA02RhqbAgKI2rkuPtD7M0xuoqA1JAhDtr0pDIFV5mcfxV/T4PnUqTKFemgHpnFx2ZKZPD4SH6mwMPiOutNOaarHiX1NZmgF4vGzfLliEdZlMLqOuHDLpeLT3iUQdSJay535ti7VnOru0TwruM9fuB0S832g53y4IxaKELwsMbZ2oCNeztni1W2rhRENzUsnxZ4WJ/HmLpG7gpT6ibwdZc4n62weaUgtq3Bf5anvhxEfLjEoVol7ijjTZcxKha4W1QwLudYKijozni5s9TxpAvYpHnufSp6jTy+nIzenJeMscpiooRe5yc7A22pgb5Sx1kBjcxB22ng0dJn3Kvgr4z4w3/th9/1Y/d1z1TQP4WcxU74P/75v0BfaNAWihRsSgZ2K9ahHltZQlGv0lDUefBoMWs9eG7a5M0F2t5ZfA9qxNotKZ8Om8yBO9XiUV+gOu9hqWRAXrwn4xXQGmeYTw95VN0jzS5jv0yT2PQQuRhx7muzVnaTk91gMK+gvL/iKRzEd1Igumlg80oxKZ5WPdzLE3hUyyTVd0SSFq52dbiuYpiNm5zbCmxGBe537Shvo8yNwrz1d4mcFGmv+Ch346zkZjnbUeK+juKpB2mH9JzbRBzZKPM5KxrHPOdBgWHjFl+yjk1c42lVTkLTYzZzhbfgRTbj4swnR2pkMFcrGFoS6q4KTd+EWmZFptQjM0r0LBIVi4wnlZoeQ8RxB1m/grFZxdgYoG3LUfTVjJUDevohLaOCpsnCUOtAJtejENQ4BwOczRG6KlCXI/a79KUqPeXESrejh4bZSM8WZKMgoko1KZpS3AaXcAk2/FcijW6cWz/0nKts34+Q7ss8OrJk/SsEulrcVyPKikviGyFeXKu4U8cYLayzeFTmNDwm3JihUz4nu7HK1lGfy7lHXKogqtQ1V9sL7F/ISNiTGK1rKNKXMLNGo3GFl2WuzQ+s31s4Wxuxftois+XCeZVkPLtCo3XD/CDIxUyZzSsF19saFs7vGXpCZC01nJkyjvEM+SUNzd4DvuwY0brArbuNMf+Et2Gj5LNSkJ7wZ9rILD5Sng62uxyOjo2R2ULNKlDWdFDUqrhLfQxjO0O7jUf7kJ3ZRf6z3/bd7/rx+7pmKuifMrr9If/se/9raqoSBacejFZcbR2mYpdxr0zF0Kdm1yHTmnC1DRjuHrh19ZA75pjPjGmObsn67cy17ZjuC9zbW/TdMyw+C31mUYNF6cadblNUP1JZmiMcHXLu77BacfMoxNHYVtCmr8mtLxE8rXO2rmArbSRuy01SLa0YgncVU/yGu43/P3t/GmvruuX3Qb+372ffrX6tvfZeuz3n3HurMIh8MMhJ8BeCohAJRYJYEBsDTkgklBgkcAN2gBA3xHbKcUOclBIrwcZ2JKeRQxCJSOG6Vfecs/u19+rb2Tdv3z58mPveurEtUrGr6tzrOn9pae/5rrm1X2k+z2+Odzz/McY+h790z+iLXcq7N+zHT/jFhwmffTli9fQBS/8tR6MDvv+5zOFXH9E3n3JsXPP5scPJzzSwT75mU3zGLx4VDM7esDXcQN7s8dW+gjY5Zve0oKE/4vypwj0L9j6e0V0ekh+6fN2T8e5fs3th4DoPOH2sMtUVyiqGbIkVTvH8EMcHPdbX1kUaKIYNtZKoCRNPZWzo5CKjLHzUzKfQbRSljiLrtPKSbpBTmwtYqVSf2ukmymLdTtcF3zMIam2E1kRRbLwSHp/nZMNbbgcT7vee8jhQab7PmervOD/sYDu7PD8uCOeX3Gz7zLef89lIoJ/6jGqnXDx8wOfjBtH4JWdfPOZnv6o47p5Saz6j/vKcl99p8LNXNW6rr0kefMbBL8358nnBi/mA1fJrxk+f8viXQ776DF68TPjw3QZ7X5+zeHyEfP2OmveUC/mcJ9MNvjoMef4q4+zzFv13JxRbT1gFx2xnD3mzMeXoQ4zo7HLeDahd3zMIWkwPmkwYs3OxxDT3udwViPENe2OLaHuDK2/K5umUurLH6QMoVhNas4hGYKJYHfyOwcRNyKMF3VFIM/Yomh3+4d/zu3iwvfdNb8OfWH0L9J8y/dy/8Ds4a6poZpveQscZByTVlHFTELY8bKVGa6lhzyPKZMzJgU5b7dM/Cbm3h8x215G4NrrmfCBQmwN2LgVRdsn1bp2e6NI6n3PnzQm2Bjy8MbmVT7Haj7BPj7l+vs/Dr3xeP6l4cdPm3DqjbT+kGr5l8fCI7Vc3vH/R4sWbiq8OEz67a/K+dc2Lyx5ffk9n56tjzMFzPuqXfHZS593PerTfvqJtf8aX/Rmff5Vy+91NqvvXPFge8f0Xgkc/OMHsP+XrHajdvGHn0sJt7PPusYIf3bD3cUg3e8rsscZ7t6B/+Yatuz7qYMCrA5lyecbBSUCzeIziKWRNwbwuc28aJHJFUYZI+QJ3NVlH4oGMkZhYZQNVbqBYBtQL/IbMzPlUKbqoUJYKVVSQFysSaUZqxcR2gV/TCL0mhfljufMkp70qseYgfIll8YGLBxVR9ynfuStRzpcMW2dcHhyyJersvS1YlB84O9Cp2o/4/KykvL3nZnPE/e5Tnvo65rtLvvqixvfuGszirxk9fs7TX454ezBlWzpAOX/Lu+8+4GdfSnxsf8RtPqH5+pyvv+jwW05tzs23NO0XDLMT9pN9XvXGfHHq8vKZ4MmrOXfPNnFPj9E6z7krT3i43OHrvRWfvSk4/bxJ/+0p5dYT7uQb9i8z5PoOVxsZ2vCenamDv9Pl2l4wuBjTqra53Tfwk3v2rwukxi5ng4jazS0bqz7LLY+FmxEVAc58RWcBptQi6dQYNQvidE5zsqS3cvgn/+SfRlOVb3or/kTqW6D/FOmv/N//ND+4vmAwVdAmMwJ1zqitUzSaNHJ7nW5ZLYnwmdcEQddjK+ngXtxz2U0oen0ObnRy/4LzXYu61mfjImam3DDcbbMZtahdT7lqrEg3Nti708lWJ9w93+PRVwEvjype3Le40k5xa0foV+8YPn3AwdczXr/Q+eKjzdveiIN0h2n6Hq3/GOvkmOnTRxgXrxgon/HLWzO+81XK7Xc24OY1++lT/uZhwosvhwSPD5lHxxzdbvHVd3W2X7/FbX7Oq8aQz15l6P0tXh7IiMUJD05SGsojLp6q3EhLdk9PGMwPyA/qfDVQcIev2b3Q8ewDPjxRmRYTds4vsXwdq2hgSA1k3UaqVcRNmHgKE10nI6csfbR4jhMsqK1yjFDDTG0s0UJWXKoyImVBovufUi8ygVcnsZsoSg1V0mkVJV2/wFsI+FFP9CWJsiBxYq53O2jeDi/OStL7W+42J9zvPuOpr9I4zhjr77h4OMCzNnl8/MOCo4TV5jO+c1ehnC9492BOXz/E+nDC6y8G/OypyZX6hnzvBXu/POGr5yXP5xv4q6+5f/qUZ78U8+Zgxn61R3HzhosvHvL0lyacftFh880Z4YMjyuF7WuZjzswrngw7vHyY8exVyMXnPVrvPyIPnjJJTjkId3i17/PsVcr4UZ+5GLJzEWDY+1xtVVSzW/ZGGulgi8uWT+N6yCDoMN1rMJRH7F0scPR9zveByQ2DiYwh18nrHrOWxFINUZYLutOEet4krzcZdSVWzHkcVPzO3/evftPb8SdS3wL9p0Sn1xf8R3/iz6DOx8xtn3HXQbMbtAOT2jRBxHPmdsi8blJ6Ho5w6MxV5Mkl59sKtjNg+yJnVV5xu9eiW3RoX8wZOlOW2122FjWMu3tuuhllu8/uvUaxuuTsocuTuxbX6ilu4xHmxTHXLw54/OWSr5/Ci+sm5/YFbfMh5egt4eFD+q+v+fBZhxevSr5+lPLFaZ1felHy7Ac3xI+OmETveTzc5QdfyDz4wQny9lMulAuenTY4/hmP1vuXtIzP+XJzyedfrZh9tsPcP2b/XMOuHXB8pLBKbtj/OKabHTF7rHPs5gwu3rFx30UbbPByX0EsT9k/iWjIRwyPFM7sAiWZ4PhTvGWGGSmYsYVVtVDVGoqlUdUrVg0YOjoLVfpUJbrEDme4foAdVKQWrDyLyG0jaXUU2Vo36YpyGssSdalQBSVlsSKSF2RG8CuuF7dJYbXpCZvDdyV+dMblfk7Yf8LndxXq2ZJR84zLB4dsVnX23v0wUjeoWod8cSbI7++43ppQbL3g8PtLXh0t2c/34OodH757wM+8kjlpfcRqPqXz6oKvv9Pke5cet9JL8r0X7PzymK8+U/jOsMVH/YzDYI9Xgymfn5q8eq7y6OWY+6c7OOfvMdrPuC/POFxs8fJByItXKWeft2i/P0XuP2GUn/Jg0mC622Qsj9i+XOJoO9zuqIThPXs3JXJjm8tBhjoesj0xiDc2uKrP6VxN6KYb3D+wWYoZ5jKivsrwUgfJbuC3LCZOQpEtaY182oEFXo9JX+a3fO9n+W2/7R/9prflT5y+BfpPgfKi5C/8L/6njLyQWa+OZTTpz1TMyYq0mjOpC8Kmi6Z5NGMNx6/Q/BWhNON6r05X9GifLxlbYyY7Hbb9Bu7NPdetiKTXY2/iIE+uuOiD1txg8xqy6JKrPZdB2Ue7es/t830efR3y6lHJ83GTa/kMt/EI/fKY22cHPPxqzqsXGl+cWLztjtnLdljEx2iDRyjnb7E7z/loXvPio8fx9xw6795S9z7jZWvM568FV9/roF68Yqd4zvcfJDz/ckh09IBx+pHH1xu8/Z5DOT/h4DSjrh5x/kRlKM/ZOTmjv3xA+sDjZU+ifvOW7SsLp7HP+0cKq/SOvY/3dJOHpAcWd02NuSpTiJSqXGFEM7yVj+tXGJGGldXW0bvmojgQNwWzusJI14nlAlElyLKJhko3zen4BdYc8CXKLCYVCxJtQWrlRC74nkPktpG1Gor8ya8eZHhnJYvqA2eHNnL9gM/OK4q7e243htzvPeVRoNP+kDFR33P+sItjb/LsfUW4uOByNyLYesZ3X5VcWm+pdp6z+8sTvn5W8HS5QTh/xfWLJ3z+yynvd+7pq4doZ8e8/84uP/Na4mPrDK/+mNq7Uy6+s8Pm6zOCB0eI4Xvq1mMu9Cuejnp8/TDm2cuYiy86tN+fwsZjpvEp++EOr3Z9nr/JuPysg3J7xebKY7nV5t6asnGxoFltcrdnssqHbF9FGNYut9uQrO7ZvxNUrR2uegnm/R07c4+o08SvSfhaQpkFuPOQ1krBkBskLY9xsyIUC2rj5Y96vvwj/9t/gV6r/U1vz58ofQv0nwL9mT/wuzn2FGqiQXcM2nLOUpszaRnk9Qa10qGxlLCWEUW+JDBjVp5O3PTYClq4N3dct2LiT/BWJtdcdkvkdo+te51qecXFhobl9dm6yomya65367SrDr2zKa8PBU8mHe7lE8z2I5yTj5w/3+bpy4iXDwueTVpcqmc0nSO4e8vi6CHbr+55/6LBizcVXz4p+PzrnKvv9lEvX7EjnvOLez6f/2DB9LMd4ul7Hi4O+f6zksc/uKTcf8I1Zzw9a3D8MzWaH16xWT3n1WONJLxk/2ROt3jM/ROdMzNi4+I9G6MtpK0OX+8qqLMP7J6UNPVDzh+rDOUF22en9Ke7qHoT2YGsAbOGzMjUiaSSqoyQ8sU6el/lWKGMGZuYVQNNrqNYBqJWENZkzFCgLmXKuKDIV6TygtgMSe2CVU0n9BoUZgtVdtAkjW6S0/FLrLlA+DJl7jOxz7g87OJY2zw9LggXl9zsBMy3nvF8LGGdBozdj5w/3KMrtzl8W7BITrh4KFO0jvjivGQ1e8fJdw75mVcSJ/VjtN5zBl/f8vIznc+Hbabp18wefcbj7y95+TjkKNomHr/m5rMjXvwg5fXelMfzLd50xzw/c3j9TOLJqwXXLzaof/yA0n/KJD5ZA3x7yYt3FadfNOi9Oafcesw8OuEg2uHDXo5xP2Rn6bLa7HDrLuhczeikHaa7HhN5xuBqToMt7nZNlvmInasQy9rhalsiW90xGJdYlY1s1AjqJstaSSD56Auf9jyjntUoG20mHZgrPs5kztZc5n/yJ/515G9b7f5I3wL9J1z/yf/zr/ALv/SLdIYV+GOmbsS846CYDVqxSW1WIIdzQiVgXpNJPAvZdHAKk+ZcRp7dcNn/dPh5I1ME15xvaVhOn80bQRZdcbVt4Rk9BlcZQXnDzU6NTtWhc7Xkxpthtg/xTk44e77Jk9c5bw5CHi0GTMoPKL0jah9PuHi+yeOXES+fCF5c1Tmt3bAlHeAv36FsPGa1es+j+QO+/7zgyZc3JIdHjJMPPLnd4MvvaOx99RFj8IwP1g2fHZucfLeFc/Y1G9JnfH834MnLexrmQz4+UZmnQ3ZPb+nED1kd2byvFXSv3rF110LvbfD6QCH3z9k7CWiVR4yfaHy0YvrXH/CW/G2grmolfkNi6GosVYVSJBTlCiuc4q5C3KDEiHSszEMXNXIpItIWZFZG5Er4nkXsrqtGNdnEKaAX5TQWFepKpox+HPwRsVtwu3NAV27y4F3BKj7j8qAi6R7x+a1Avpxx37rk5uARW7nH9vuMuTjm/NBFrR3w4rQkGV/z5rnKU3+DaPSai8+P+O7Lkg/dc2q1x9Rfn/PyO21+9szlSntFufuC7V8e8/Izlc+HLSbZS4LDz9j4+oTZk0O0y3c49afciFMerrZ5tbPk+VvByRd1Nl9fkOwfEc2P2aoOeN2b8+JY4uNnNfrvztC8I64GMfpwxM7CJOz3uakvqN/O6IcNVltt7qw5nesprbTLYqfGUJsyuJrRLLcY7los5SVyGOH5KbVQwZQ8Ss9jWVeYWylVvKQ+9Wn7FrLdZdE3GFsBz9H5J/+X/8dvepv+xOhboP8Eazyb8Vf/4P+JIhkxauSsejUcqU53oWDNQpJiztItWDUshG3hlC5uJOOsMuQ4JBELrncsPH3A4ColLG642fGoK136VwlBdcPNdo2m3GFwmTCX7xjuNOhmLVpXC4bOguXOBo/f5rzdC3gQbbIM31NuH9F5f8nH5y2evZN4t73iINhgUhyjd4+wTz9w83yfw6/mvH5h8sVrmVfftdj5+gPq4BkX2gXPTpu8/Z5N/+1bvPrnvGne8/lricvvdlGuXrGbP+P7hwnPvronPTzkSr7k4ENIQ33E+VOdITN2Ts7p+w9IHni86goaN2/YunJxG3u8faQSJlfsnkzoJo9YHJm8b0hU+RwnmOH4AW5QYcQaVt5Ap4GsOetD0obE1FMYGyqZlFOWIWqyPiR1woLEXB+C5lYTWamhyjqtrKS7ynEXFQQyVZKQVUtidUFqZYQuBJ5J6LaQ9CZbscbO+5xF9ZHzAx3ReshnFwXl7Yi7/j13e084jAy6xxlj9ZjLwzaWtcXzDxXB8pyr3QSj9YTNL0e8fC7xfNEjmL/m+vljPv9BwvvtIT39EOP0A+++2OJ7b1VOGydYrSe0Xl3w6jstfvbU4lV3yNP7Fi8PU569STn5vMXm61OSgyek02MG0iFvm2M+OzN580zn4M0t/uEh6fQDg+qQt70pj05iqO9w00+QJ0O2JzpJv89NK8a6H7O9tAn7PW4bAc7dhK2Vi7/R4662oHY7YeA3iJoNIg8CPSOtQrQgpr5KqccWqlYnatlM6hWRWOJMl/RnCobWxR9Y/AO//bfzsz/zD3zT2/UnQt8C/SdUVSX4c7/nd3DdrIg6DZpljfYE1OUMX10ybWikDRdLcvEiHXdVoEQBeekTmgW+oxI3bLp5m/b1iqk+YrTdoJe1aF+HzLQh4+0m7aJF5ypgpg8Z7TTpxW1a1/M1zLda7E3q+NEHst1D+m9vefe8zmcfdY7bQzalfdLZW4L9I7be3vLuRYMX7yTe7i55tBhwK53guUcUk9e0rGe8bg35/K3KyXdbeKev6Wov+How47OXKXdfDKju3rEXHfGDxxlHX12THTzmrjzh6XmHD9+tkYQX7J+EtKQjrp9oXKlLdk5P6M/3KPcavNyQsYZv2bvQ1u6WxxqzYsTe6RXd4CH5rsOorTLVVXIyymKFnsyx/RWeX2CGKmbqYIomquIhezJ5vWJRV7g3dWJFUIkESdIxKpVeltJcVVgzqEJpPalILEj0FYldEHgyoecSOy1UpYaKQb2sGCxznPOcifKRywMP1dvn+XlBPrrjemPGZOcJT1YqteOYsfWBiwcbNMwBj97lBOEZF/sFafcJ332V89H7gDZ4yuZXQ756ofD5pMM8fMX48VOe/iDi7f6MHXFAdf2Gsy8O+c7XBe837ujph+inx9y/OKB1fEq5+ZhwdcyGOOR9a8izM4c3zxQevpowfbKDev0Rzzniwrrh8XWdN09lDl8N8Q8PmCU37N4VUN/ltp8gTUdsT1Syzga3nRhtMmFnrJJ2N7npxGjTMdtjhaK9zVUvQhuPaM8lLGEh6S6xZxK4gkCPKfMYcxnSWpQ4VY2y1mLehqkeYszm9KY5rujxj/9f/kU82/qmt+03rm+B/hOqv/B//d/wWiT0YpfGMKGMJsy8hEXbQbZqNBKT2hK0IKAofQIjxbcVUscC08SqTGqRgXc35t7zWW222QxquLczxtac+VaLXtKkfrNgZsyYbjXopS2a1zOG9pLlZouNVR377oZ3zzxenJmcebe0zQO4fc/oyQGHL5e8fiLx/KrOmXtNV9+nmBzj7z9i890Nxy/aPH+d8+Uzwedfxtx+Z4B0/Ybt4hk/2A948dWC2fNtotmv5NCPvryi3DvihnOenDX48D2P5ofXDHjOmyONNLhg79SnVR4yfGxwYUZsnh+zMd6i2unwcktGn31g97SiYRxy/lhhKM3ZPr2gO99B15vITkXSlJjVFMaGTiLnVFWEnMxx/Dmun2GGCmZirVMziodi6ZS1irAmY8UCbS5RRSVF4ZNICxIjIrUL/JpC6NXJzSaK6qEKjU5W0F4VOEuBWMmUWcjUPufysI1tbfL0Q0k8v+Z622e2+YTncwX7JGRsf+TqcJuW0uPB+4xVfMrFoUzeOuLzywJ/eszpFwd8743Eae0jau8p/a/vePWZwRfDJpP0FfNHL3j0ywtePYo5ijaJpm+4e/aYZz+IeHMw52i2xdvelBdnJm+eqTx8NWb0ZAvzfB3N34hzHs0GvDqMefoq4uZFD/f0BKt+xKV+w5PbOpcPTRJ/yM59+QnqKdJ8zPYYRHOLy26GPB+yNZaQ6pvc9kvy1Zjt+wLN3eZmsyJJV+hJgh2mOJGKKSwkwyOu6aw88JUIKQpozEMagY5mdll2LMZujPBn7M9yfvcf/Te+6W37jetboP8E6vzmkr/yf/uz1IYRaT5i2BQEHQ9XrtNcqtjziCpdEBkpS1ch9kwU3cQsLaxExYwqzCShSpbctArybpvNuYU5nnDvRQSDFoOghnc3Y2QvmG+2GERN6rdTRj+EeVDHvRtz3glpWQdo1x+4ebrN49cJrw5Snsx73IuPGO0jnLOPXD3b4uhlzOvHJc9umpw5l/TVQ+LFO8TWEdHimAfLQ37pcc6zL+/xH++zDD5yNNnlBy8kHnx5DjuPuZYueHJW/wTyN7S153y1teLZ1zOc+j5vHynE4TV7J3Pa5SNGRwbnZszg8j2D8QbyZodXOwry/ITd05ym+pCrxyq3ypLB5SmOr2KlLqZooqgusiuTNcQa7qZOqJTrkXTFAns1ww0y7AD02MQu66iyS1nFJPKCxIxJnArf0wm9OpXZQpZtTKHSTQqaQYk9E1TBOnrPWRJpS2I35257A8/c4uhDTri44nY7YL75hOdTGes0YOidcHW4R5cWD45zFukpFw8UquZDXlyWlLcj3j3O2M93ETfv+fjFHt97I3PSOMFoP6b76pZXn7t857rOsHpNcvCc3R+M+foZfDbtMotfsXz4nK2vLpg92UW7/IDZfMywOOdBsMXrnRXP3lacfVan/+6cbPsIP/zIbrzHm+0lT98VXD7vUD89xdUOuN2syFcjtocCub7JTTenXE3YHlXI9S3u+iXZarKGuLPB/aZMmI7ZvI5w1A38lkFoVcRaSpHFaHGCHWZ4oYaBBVaNsKEzd3IiscKd+XTnYEgd4q7LsJHxW5/+LP/Qf+cf/6a37zeqb4H+E6g/8z//p4ikiFFbJ2s1aWc2jZlAWS2IWTGvSUR1C8mwsQsLN1UxwxwtiqmKhFROic2ShaeieF22JzrS/JbbdkHWbrOxdLGHY+68gGDQoh82qN1/itw322yEDdy7Cffeimhzg0fvUt7uRhyEG/jRB9Kdh/Tf3XD8vMHzY4X3/Rl72Q6r6D3l1kNa7y85ez7gyeuQ14/hs48WX75QOfrykuzgiFH+gSe3m/zgC42Dr05QNp5xoZ3x9PTHQG4858vBnM9exsyebbEKPrB7oeM0dnnzUCWJrtk9ndIp1lA/s2MGFx/YGPWRN3q82lORZx/YPctpKodcP9a41iL0ZIK9Wn066FSwUhuzaqCq3hrudVjUZSbmuiNjISLIF1jBHM+PsSJIDUHgGYS1JkJvoMgORqXSTTOaywprUVGFEkUWkEkLIj0gs3MCVyasuSR2hzZ1Hn0oCPxLbrYTVptHPBvJmGcrRrVzrh/s0qPF3nHGMj3l4oGKaD7k+WVJdTfmZjAi3X7Owx+sePNgyW61h3T1ng9f7PG9NxInjVPs1hNar694+UWD71463Mhri+P2D+756jOd79w1OXYuebTY4OWOz2fvBccvXHZf37B6eEg5+kBbfcipd8eTC5e3zzQevL5n9XCfdPqRzeqAt/05Dz5GqN4WtxslxXLM1rBErm9z28spVhO2RhWaM+BuIBGnYzZvYix1g/GWyYIpvbslbuaiKCaFaZPZKqEjiJSErExQwwgvyKhFGrrkkXt1li1YGCHyckFvnFDL25Suzf/oD/8hTF37prfwN6Zvgf4Tpn/vL/85/rOzL5FVk65vUpuklMmEhZOwaFhUrvPp8FPFDnKUKKAsI1IlJ7ArEtsgM3VkVcOUXAZ3giK646YLcqNLf2ZgTIbc1ROi/jpSd+9mTOwFsx+P1J0ly0GLvUWDMPhAuH/A1usxb56YvLhyObevadr7KLcfGD/e5+DVnNdPdF5c2nys37Ml9vGDd1Rbj3FOjpG3nnBbnfLkqsvL7xjsvPyINnjKuXbJs1OP99+r0frwlpb5nJe9KS9eZQw/2ySfvOHB/JAvP1dxbt+zfWljN3d4+1Alia7YO1nQKh8xPjI4t2J6l8dsjgfIgy6vdlXk+a9AffhI585WyckpyxVqssRdLXHCdf7cymzMsoGiesiOTFGHeX1tbYyVNdyrMkCSLRTFwSwVullOa1lgLECEUGYBqbQk1tfFRIErEXoemb0+QNXQaeUVOycFoX/OzXaCv/GEZyOBcR58gvkOHdqfIvMzLg+gbD7i+VWFuBtx2x8y3H3Md891pvkr5o+ec/TLAe8O5myxj3zxng/f2eN7nzznbuMJjTfnvP6ixffObC6M96iDZ3RfXXPyRYe91zfMjw6Rb97jOY+5Vi94NOnx6jDj6auQ6xddaqdnaK1H3ErXPB61ef2o5OHbGYuHeyzDa3buK6hvc9dN/4uRea8k8yds3+do9gajDQW/mNK782lUXWYDj5G9xFqEmFGGk8johYqqOJSmReYYBHZFpGVkRYQWhjRXGbXYRjabBB2TkZtSxjMsP2NLc/idf+A3bxXp/z+gq7/RN/ObXUEUc/03P3JYWMhxSiLuuW5AtFXDULt0Qh3nrkCJfIoqINAzQk8hsTSE5aEqGnphUMtV9AjsVUqSD7nd0NDdLv2Rijy/47aZk/TaDHwP937GxFmy2GjQi+vU7hZMrTnLjSa9sI4+vufkYYMnNxJ3rZB+uUEenZHu92i8DXi35/LgXuO+vqJXPSJJTqgebGK9HnP6uM3zi4x32zbPzpeUX+wwvT/m4egZJ3suzz7O0L67ych7z8OrBl/vDGi/uqczGHDbfcPeSZcvHx8QjC55fH/Em8Fjbqu3bF/f8PR0m9eHu1wdCDg7ofvhAdWRxeXOI2TxgcGdxAupzavth1wefITTE/rvH9Cv54R1mUmtwcJp4zs5i3KFlixw/CWO72NGCpbvYKwatO8cunZFXhfMGxozo0c9LWmucqxFRhlKVHlExIJI90maJZEjEdQcEqeFKtfWXRiLiu4ix1skyD74yTW3mzH+4DFPJ2BeRAy9c272t2hLHQ6OM5bJOdcHgrz5mBe3JdyNue/eM9454jA0KKd33LzY5LMrmalzhWg+pvalz9tdnQdzCz9/z2pjj8PXKSebCVuZR+KfMXuwy3c/Fpz2I3ZHFpcDlUeXKa/3OnTejJA/7xPdXbORPuKuPWL7ps/7rTrPThcoz7r4w0u2gsdcdaccXsYEe13uuiO2JtdsyJvcdjvcigmb4xs22OKu2+Fqc8LW/S396wHyZpfRtkxxP6Z1U6ANmixci7CW4+cpUpphxgvsdI41Vmhj0zEcUrdB6DaYNRJGWYS9HNK5FTyQmiStAaEnGKmCN8eveHb04pvezj9x+hbov8H6t//3/wyzKibXZLKaTFnvUM9s+nMJbbUkK0eszJywqZDYJrLuoQsDr9QwQjDSCjXNkYuAqkxYqQmjbQdH7dC7A4IbbruCvN1mY+Fgj9Ywnw/qdJMGzfuAhT5lNmjQTho0hgtu6yEt6YBydcvqaZdnJwkfBxJbK5el9h7DOUA9HzJ90uHFWcqHgcrO1GZiX9ESh6TpBVpth5nxkQfDp3zY9XjxYYb+3U0m7jsOblq83u7SeTumvdnjtvOKnfMuPzjYo/vygt3wIVc7Mk/PFxxpLu83j1DK92zeKTxVN3i9v8v13inK2TmDkwcUjxzudg6Qq1MGtzLPlCavNh5ydXCMOD/BHjUxJx77lknlZQR1ibHb+gT3hEXXxwjnOEGAE/iYoYK1ctFXdbr3Ln2rpEpkyiwiZEmsrkhrBZEDgWcTu01krYaGSTuX6IUZ3jJGXUmUUU5R+oTKgtFmxnLziKO5gnUWMrZPudnboKH1ODjO8aNLbncKkvYTnt8XyNcL7tv3DHcesJk6tD/GnHXnNJVnSKMxN087PLlTmeqXlK0j6l/5vN9ROViaBMXHH4H942bBduwQxWesHu6w92qMeNEnvbuhXe0xqZ2wNe5xuWnw+DLi9aMeg9d3uBubTKyPbI+PONtweXK95P5pn2h6w2B6wG2vyV01ZXMyZCAPuGs3uRMzNiY3DNhk1O1wszlj4+6e3k0XedBmuiVT3K/o3RcYTp3cMMl0i9gUZG7OhBTSDD1JsOIAZybRmlq09RpxvcWq1eSqG6CsfNrzMe7URBYy//kf/5M8/RN/6ttZpH+LflVAlyTptwN/HFCAPyuE+Ntc/pIk/beAPwZowEQI8Vt/ze7y7xN99fXf5LbdRhYyeinRKGTcs4QyHhGYIcuGTupayHodq7DophJGAHqaI6cryiojlzJCpSS2BZmhkzo1alKLzn1JGd9z25Gomm0GCwt7NGdiL5n1anSyBo37GF+eMO671EWL1jBiocxYDZo8uSq4buUMkhpJfkrV2sR5t+B41+XBvcrI8+lWA9LsjKo1wH494/Rhk2fXgrOuzM69ysftOs8/zDC/u8nEec/ebZN3Wy3a70bUNroMG2/Yvmjx9c4O/a9v2Mx3ud0seXQRc/Vih8n4Pd2zQw40i7Oth8jlBzZGCk+VLq+3H3C99wHp7ILtk33KRw3udveQyit61ypPlRpv+o+44Zja/B4rHGPFFmZYxxnXqDlQeoJlXWZsdwhqbZZewqxYYQVzXH+JHS4xYhVr5ZGoEambEjuC0DMIvQGSWkORbeqlTDvMaS4zjKWgjCqKIsCXl8R6SGKXBDUNv/uQhyuF2lnMxDzn+qCLa/Z5+DEn8m+4244J+o95OqnQrkKG9RvudnfpVXW2PqbMxRmzjW2+uCwZNkY45lO0dzNujuo8GmkslI+k7UOaX8e825LZW9qExTH+YIeHr1M+bhRshxYT+5rNaZubnszBdcWbrSa9DxOk513Cu2sGySPuW2O27gTvNpu0P47Qn3VYaudszo+43jR4cDumr/W5b1XcFzM2ZhMGSpf7lsS9mLExu6PHBuNOm9vNKYP7IZ3bLkq/yWSgkI8XNIIEI1LR0anpJpWmkZo1Uh0StyJopCyLFDlOsKN7ahOJwcih59QI6w0mezFlmVGJErkq+Ut/4V/mv/87/lff9Lb+idJ/KdAlSVKAPwn8Q8A18IuSJP01IcSbH3tPA/hTwG8XQlxKktT7dbrfn1pVleD7f/ovsCFKhCippJKSkptaRdS3UcwNnMKgFcoYswI1iaiKhExKCbSK2KnINY3c0BCqjaRqaJJGKzNoDVOSbMR9T0HUWgwWNuZ4wtgOWPTqdMoGrfuYqBpyv2Vjq23adxlRMWG0ZdPOmuTRJf5um52ThI89lY2VTaBeYTj7aGdjZk+aPL1OOe/C5sJmZlzjqYcU8Q3pQRf95QxjY8DUec/+XZN3W03axzOcjT7j+hv2rjt8vTWg+2pIb3uT294te+cld0928e+vOJgdcb7bQvtwSffkAfmRxe32PmpxxsatzmO9wZv+IXfZe+TrS3ZP98kftbnbyVDLS7qXBxypLsftR9zVl+jRAscPcIIYMxxhBS6GX6cxdmg5ybotQE1jbAxImx0mjRg5nWMHS6xwQWrKhF6L0migKi6WUGmmFW0/w14K8D9F8NKSSFmR1gsiRyJ0LWK3hazW2Q0UGmcJM/WC6z0Pzdzh0UVOMh9yt7FkOTjicCljn8eMrQvudns0lRa7xwWr7JLbPYVeWaOc33H/YsBnNzJj5x7VOcI8XnJ2YLE/NVhwRtrep/065HhTYndlERYf8Pu7PHyd8HKvzrOzJVdPu+TjO+ryNjPrIxuzNjd9nUc3EfeHHTZe31Hb2GDinLI16a2j9MsFwyddxu4dvfGMntpi2K0YV3O64wk9qcOw3eCeGYPZPb1qg1G3w/3GlHI4pn5XofTrTHoKIydELUq0JMTMAoxYQQ9lTCwamk5hGOSWRWRB7GZc9xKUMMLzb6jfqhzIdUrbQEggZIW7YMF8uaJZr33T2/snRr+aCP23AB+FEKcAkiT9ReC/B7z5sff8E8BfFkJcAgghRr/WN/rTrn/75/4AHzZThKKCrIMkQFFxhcOmr2COc+RkSU5ErOVEtkymq+SGDpqKLOuoqDiFglaq6LFAzgRmFBAXc+77GorXorswMCcTJnbAsufRFE2aw4SomHDfNzH1Fv0hlPGQ+56CaTZpX6XctCoGaY24OKNs9fDer3i/6bA/0hi7SxockkfXpHsdvHcr3u86PBjCsJGy4TtM7St27tp83KzT/rjAHHSZesfs3jZ5s9Wj+3ZEc6vPsPWazcsBX+5t0X95yWa4z92mxKOrEO07G9zsRchnl2ye7ZM8ajDc3kLNb+hdajzUXI57DxgWH1Bv7zi82ODt/oDbnQzl7JL2+QMeyQZ3tS6R22TpxiyzFXYww/aX2OEKI9axFnX0pcfAhL6XE9QUxp7L0vSIzBS/FSNLBqpk0sgEnSDHW6SoPpRxTlatiOQVqZ0SOyWhqxN5XYTRQJFt3EqjF2V0zzKW5SV3Bzp4ezy5yajGU0bdCbPNB2zHJs3zmJl2yc1uA8sc8OC0IPZvGW6lJO1HPPlQctWe0VCfI48mDB+3eDRUWRg3VK2H1H7g835bZ3dl4JcfiLpbHL2O+dCHHd8kLD7iGHus1DM2/COGzTs2hoKPG3Ueny+pnnZI7oZ0sn3umxM2hvBxUKN7Msb4FKUP5o+46XgY+YLGSCPf8Jh0C9RyRXOs0JGbTFqCezFnML+nR59Rp8OkLyFGMxrDEqVsEVg6mVWSODlxlSOKEi0rUTIfMxMYoYwRqNjCBMMitWpETo1wo+BCBOirJXpaIAFqKdBSiX/3D/yz/K4/8ue/6e39E6NfDdC3gKsfe30N/Nf/lvccAZokSf8vwAP+uBDib6sAkCTpdwG/C2B3d/fv5n5/KnU/HTOZFGwVPeQCqCoA1EIgRQtSEa+9t22NzNJBt1EkA73SsAoFPQE1A6UoUfMCOY8QVUEpMkI5ZbhhollNenMdYzZhYocsex41GrRGGVk6YdzTUJ023amK5N8zbIFUb9CdaeTJDeF+i92ThLMO9H2bQPqI7O1gXM+ZPKjx+F5w28joxR6h9AHN2UM5H7N60mb7NObdVo3OxwXaRo+Z+ZHdUZPjjTqdDwvszTYT7x3btz1ebQ7ovxrSExsMuzfsXZXcPNnGv73iwf0RbwYHDJNjtOtb9i63iQ963O0kaKdXtC4esKNZXA320bJTBhONR1qHtzu73O2coJxd0jzfp14rCesKU89moXvErS5hY4UeL7ECHycYY4YTrNTBiOs4MwfPKclqMouawtxsUstzmqvkk7NFUOYhIT6RviJ1SkJHJvQcUruJonhowsDLBd0ow1vmyCuBn95wv12SNB7wdCJQ7kJGtSGjrS06VY2Ns4xlcc3dvoLk7fDwpqKYTRl1Fyz6hxwEOpl/zfTZBi9uBBNvhOYcYX5Ycb5nszvRWclnJO19Gm9iPg5gyzcJ8zOC7hYP36d87Ak2RyoXPZuj+5jrB2223o3Rtlv46jn91RHDdsnuXcbb7SYb78ZYgzYz65zBpMtl3+XoZkn9oMGkl6PfTGmMVIqtJrNuhTJcUB/JCOqMW4JhNae3HNKlx6TTZtqXKSdLmuMS3fYoNI1K18lUyDRB4ZbkUkZCiVTkkOXoaYCZLrFWMvW5QUt1yNw6Qa1BaguEBLkkSOSKhVTx//mFv8F/87/xD36je/wnRb8aoP+dTh3+Vq+jCvwM8NsAC/jPJUn6BSHE8X/hHwnxrwH/Gqxti//Vb/enU3/t9/9eBBmpWlHJ62sCiUqu8HsGpe2gagZGblDLZTQf1LREyQvkPKYqCypyKqkglgWFUpLaMoUsk7o2ht6gO1PQF1OmVsiq41CX6rRHJWU0ZNyREfUG3YWBvhwz9jLSVoNe4GJMZ9w0S9ppjTS7Iml3aJzEfOgaDJYmC/0SyzxAWo7xH7fYvkw46eoMZhoze0WjekCWXSG7myyMM7bHTS43HNrnK9Qv+szNY3aHTY43WnSOZ7jbLSaNd2zc9Hm5vcnm17dsxrvcb8CjG59dx+Wit4+RnLAxMXlkdniztc391jHqxQ2Di12SRy6TrU307Ibe0OLQdHnb2WO0cYxye4U9aWEvHFynZKMmsaipjK0OidNkaUesWissf4br+1hhgJ7o2Ms6+sqjaxp07QwpkSjjgqzyiZUViZMQOxWRoxF6LSqjjibbOJVGJylo+inmXPwI/pG8YNgLWPUfsh8o2JcJU+Oa4VYTW+2yd1YQRbeMtlKS1hFPpgL1LmRYGzLd2KRXOnQuEi6aC1xtE2kyY/iozoOxylK9I28eUnsV8WFDYSvQifJTgs4mhx8KzroFG5lJkpwTdAcYbxaIp22y6yHtapeJc8LmuM911+TRMOL2YYfyzYgam0zcE/qTAed9h8dXC5THLXzlmubUIe02ue+M2RyNaY43KDpNJr0S9XZObSJRyR6zTsWYJb3liA49lG6TRUeimq5w0wQtVpEkDVNWqTQNoSiUqkmuyZSaRKpXFHaJL6UsygIpSbCiGV40obYwkRQNRPWJQDKypPL2/K/zW372v4367YSjXxXQr4GdH3u9Ddz+Hd4zEUKEQChJ0v8b+AI45je5/uO/8Zc4O6whVwqKkJA+fY1VUgXI1HIdO5TQ4wI5CxF5QUVGIRWkslhHMbagkFUqTaZQZYRigawgKwqGZNKZKmjLGTM7ZNlxcaQGrTFU4ZhRA7KGR8e3sGYLlnqA3/Zo5DXcaYCvLYnaDbbuCm4bOe28RlqcUzZbuB9CPvRtdiYaM8enJj0gT27JD9q47wNudhwOxjBsFWzNDG4HBk9uA6oXA1bKGduzx9wOLFoXK5RBl4X1gZ37Fu8GTXrvxzR2+gw712zflNw+2GJ1d0338gHhI5fR1gZ6ekfv3uLAdDhu7TNOPmDcDtm52iA6aDPcitDOrmlfH7BrmVz091GLE9zVDWZiYC1rqH6N7kzQcXNWDYWJ5RBoLmmrRdTwMfw5ThgThWPMcIqdeGixSy7FJIpP4ubEjkTgGaROC9Qaumxg5jLdsKCxjFGXgjIqySqfRF6R2DGhK5htbNPLHDoXKSuuGW6q4G7x8DanmM2YdJYs+vvsRDrOdcRMv+Z+q4Glddk5y4mSIZPDHk+HMDfHSN4hzlnI8abGlq8TlZeErQ0efcw57WR0c5s8umb5cMD+ecl1O6VXeKy0Y3rBEcNWycZY8KFfo3u+onzSJrsd0862GdfG9EeC036N7tkMrdskUK7prR4x7OjsD6e0jR73tTqTbM7GfExL6VN2Gow6FYPxgvpEo+rXmHUEI7GktxrToovoNlh1IYlSlKxALXP0HJQc1ExCq1Q0WUOWFFA0SlWjUG1yUyY1ILFzRlJKlacoWYaQFFBAiBypzFDKkp//I7+X3/HP/0vf5Fb/idCvBui/CDySJOkAuAH+B6xz5j+uvwr8CUmSVEBnnZL5o7+WN/rTqDTPOfn3f4EHuQQi/dF1IUkgK0iSQGRTcpESqRWpUZHZCqWuUCgqqCrIMigKKgpUMgYKaiWjVjJaCloC2mrK3I5YtB1spU57CgQTJrWCpOPRSj1qs4hILJh0bBy5RnNUkOULxj0Tlzr4Q/yjBpt3GbeNknbqkpQXiFoX6/2Si22Hg7HMzEtoZy6xOEWyN9DP5/iPG+x+DEmf9gmv7tjwHzDqKzy6Dzl/NsC/umJn/ojrvkXzMkAbdJnZH9gY9njf6zF4O6ZXDhgNBObVkN2bDcL9LqPNAOP0htbNPlu2ye1gGyO+YGNm88Cp83awzWhwjH59S+9yl/CRw3hjm9Cd4IQJtj/GjOeYUQ0jrlFfmtTdkqguM3UN5oZFUW8y9Xy0ZIkVLnGCJUa0IjcFkS0Tey6J1URTaujo1DNBJ8xxVyWSL1EmKXG1IlFXJHZO5AhCTyPxOthKm+2rjCQZMt7IiJuHPJwL1LuYiTtkPOjSpM7gKsUv7hjtyuBt8+Aup5rNGXVWGMYm+jhgvGOyvdAJq0vCxiZHJynn7ZxO4ZCFNywPBnx2UzJs+jTZpvSHzJ52eDEsOOkYPBwn3O3W2X4/RduoEXFLL3nAsJGzOYHjbo3B2QJ10MDXLumujrjvmDwahdwdtliuhjSnS1qax7RZMCkWdJcLWkaTUa3GuFzQn05oTHtUnRqrNoxY0ltNaNNB6jSInYjMKUmLkpAKihKlBKUokMscrRSouUBNZDQhYa10XFkH1aAwbFK7Ri4VqKWEUgDIIAlKVWFUFFzcXLK39Zsnlft30n8p0IUQhSRJvwf4D1nbFv+8EOK1JEm/+9Pvf04I8VaSpP8A+BqoWFsbX/163vhPg/7NP/zPcWstqRyVSgYJBVkIpKJEKSsUIUhqKrmhgaKCrKFJMqrQ0EsZuZRRKlAS1n+WFVIpUKoKqciRixJRJsytiGXbwdLqNGcyij9l5iSEDQ+vqlGf5WT5lHFHQzddmgsFwgmTegVenc5EZuZEuFIP/An+oxqb9wU3zYp24hBxhuIMMK7nzPbqPB4X3DahF1gs9Ssc+YC0uKWX7TFu5+zf5Vw96BPfjOnFu4y7cHifkD3tE1xds714xE3fonPho282mHof6N/3eLm5wdS/ZGPmse/VeN/aYtz/gHkzZONmi+WDBpONACsZ0ro12XFsztq7TOITjOGY3ds+8W6bpOEx8XzM2gLHj7DDGXq0wE49jLSGtbLZcWK6dYW5pzI1WmR2jcBsE3oLrGhFajoU5rqvi41OIy3pBCn2soIAiiwhY0WirEjcksiTiByTxGkgazV0YfNgmCKmPtPGnEVvh25mU79JWMp3DAc2qjVg9yojDaZMuyFB6yH7Kwn9NmViD5kNOuzPVHzpnqyxQ/19ynknp1daZOEdi/0OL+5LJvUlnjKA+ZzZUZOjkWBuz7D1xzCbk2+2KW6nOHKfpXFKL+gyakvsjTLuB03kj1OMQYOVekHHbzNqGTwchdwcNkjvJ7TTXWYtG+NuhbewiAcefiPDSn1qM42m4jCtl0yKFf3llOa0i+jWWbUqJgR0V2OadDAti0KVqWRBoVRURkVJQSkJCkpSUVFVAqoCqahQywI1TdGLJZYvY65UTEmikEqEJFhXuQtUIaELif/oD/1Bfuef+rPf9Lb/RvWr8qELIf468Nf/lms/97e8/peAb595Pun45B1Dq46t1ZEqgSRkhFRRyYLcKsnVikyq0Aodp5JREwmtFMhFhVSsfbaIDLmqoCpBVFSiQlAiqpJCrqgkQWKVzFsWllajtVAwFksWZsSiZeEoHs2ZgGjCuCYoaw7tyMFczJlbMXHDpZ04aMs5s02HnYXMwgpwlF0kf0rwsMbWMOemIehEJgF36OYG8nLG6qjG5nXKRVOnt1CZNRIGo5JX/Tb52xkNqcesccVgKLjb6pLeT+il20zbJfvDjOyojy9dszk/5KZj0ztfUdtqMhnUsaI72rc6A9vitrvFNLxiY75if1zn3WDAuBdgXN/TvtlleWiz6PWxoiG9iccDC4YNg5Vmkns1ZvYKP16DPQmXmKGPnTsYizpGYLPplLRqBYuaysyok5gWidFClgzsSqMZl7SCBHuxzo8XWUQm+0SqT2qXxI5E6Jik7rrs35As7Bz6YYpxnzE17pkMGlhqi+3rnDQeM91ISesPOVxUqJOUiT1l1uvSFDadmxxfumPS05HNPvXTmNO2oJOZ5PEt/kGHZ0PBxFtga4+RZ0umD1z2pzIrY4LsHKJ/9JntOmxOFVb6hGZ+yMy5ozuXuW2aHI5TbnbqVJMFtt5kpZ/TDnpMmjoPJjG3+x7ZcEoz32RcHzOYlCw3PGb1GZuzKc1Zn6JdZ9as0CYLvLlGrrksGwXTKqCzmlFX2lTNGkEDJHw6qwlOaiMUjUqVqeT1D7JBoUgIWSBkiVKpKCWJyhCUcknulSQULIoCqciRKhCaBYoCsoyMRCVJCKlCiIp/7//x5/nv/qP/4296+39j+rZS9NdBQgj+0z/yx2iJgopyHZ0LUFBAkpEVg0rVQFVR0gSqcu1a4ZNHXakogQqBkASlJCEUKORqvehliUqBSpHJTR1Tq9NaaZjLJb62Yt40MI0a9YWKspqzsDLShotbenjLhFj4zOsGplzDm5bEYoHk9LHuQm67BoOlxsrwsfVdpGBOcFhja1hw05ToBBa+foOt7kI0I9lt4J7GXG3X2fi4wtxpsLA+Mhj1+NCtM/g4x9ltMvPu6I0qXvfa5OMJ7WLArFWyN8zJjvoEyjWb0ybvehvMuh+wbib07zZZHDSY9lc40YjWvc2Ga3Hd2mQWXmBMZ2wP2/hbXaZ9H+v8jsbdLvtRhV9TmNoaK71D7taYWyuieInthyShjxmGa7Av6+ihTX9V0vgE9rnu4uUlzSDBXlSIUJDnMZnkk+g+iVMQ2zKhY5K4677qBhZ2Ia1dLqsSdQl+MWS6JSidAYezEmYh89qMZWdAu7Ro3GasuGfc05CtAdu3OXkwZ96OiVp77PkSWTLDf9BmZySYu0sM/RHKfMVi12JrLhMoE0pvF+c64raj0PcVImlCWtvAPY456ShsTWUuWhb9YUL+sEZ5P8NWegT6Ga1Vn0lD52Aac7NXpxjO8KoBM3dCawqnTQ/5bEq90WHasFkmK5r+ippRZ+LZTLMlg8WM2qJP3qoT1CvUIqQZLKhLLaqmR9CokESEEwcoBciZjCTJaChISOiSjCRJCBSELK3TjLJKJYFQdCrNIFdkMgPkqlq7vnKBWn4KfoQEQkEoMtfjD4S/PcaxfnP2Tf8W6L8O+ss//8c43pURqoGEvI7QqwqpqpDTAi0LMLISPZbI1YrCkKhk6RO4ZZCkdZ5dkqkkAAkhg5Cl9cKXZEBGViQ0xaCx0jAXPpEImDV1FMuh5hvYC59QDljUDQy1Rm0KIl4yr4HkONR9FTmcM2vI1FOLtLimqNexzxMu6jodXyfQVpjqNnIwJ+jX2BqmXNcV2r6Ob/i4okOW3yHbXQLlmr7fYtjR6dxHiEGHQLlgsGhz27bpX/poW02W1ge6kz7vO02KyZx20WfWLDgYRfTqDuP2ACe4pb+oszNz+NAeMO18xLod073fYL5fY96t44RTWmOXzbrFZW2DWfsEfTTBnDSphTq2V+HXZGa2hq91yF2PpemTODPsICENA4wo/gT2Gnpk0fdLmm6OHleIAIosJWNFrAWfhkKvUyup00RSa5iShZXLtJOc+rJAXQnKuCCpVsybAX57i16m494nLOUh066FbHTZvCnIozmLdkzc2GXbB2OUMTWnzLsNXKlGZ5hx7ywxtCO0uc9826Tna0RMSbwB3mnGWbOikxlk2TVhs8OD65LbRkqzsijSO8JGB/2DTzWok15PccsNVuaY1lJlXNc4mCZc79apRnM80WPpjGktJC5bLv1rH7XvEWjXeMsmUddlXk8xxz7u0iaxXIJawSLzafoLGlqLsu6xqpdoRYQXKjS0OpW3jtQzPVunDasSpSqQK9YwrkAWIAlpfa0ESQhAQhUyspAxJBVZViilirJKSKWKSCspNEEpyQgkQKCVFf/WH/xn+J3/4p/5JhHwjelboP8aa+EH3L0bs1c2kEQJQCVBqcoUytqWlToFASlVUSJkBUkBuVpHKRICgYQkZCTWhxYSAoTE+soa5ooQKJmCWso4y4i0WjFrQOnZ1DMXd5WSlSvmTRnZcfECDSPwWWkxcc3BrRycVUoshUQNm42ZYOrmuKVDFY+Id2rYNyk3NYVmZBIo1xjaFkqwIhx47NymXNQ1uisF30pophbzRsH2OON8t0N6NaeTbjNvVOxNM5KDNomY0AtrzNoa3WGMstnCN05oT3t8bDVIx3MGE4P5VpN5e4YTjqmNLFp1k1mry2J1T29RZ2vucNweMG99xL6d0B5uMDuwWbZbWNGMMkoxoxpq4lIPFJxaiV9TmVgGkaZSeDYLc0Vsz7HDjDxYYcQRZuFhLD200KAscnIREKs+iZkRO4LI1YjdxnquqGRhFCqtdG1ZNJYVZViRlSGZ7BNaIbOOjaY2GVznZPGcRTclqe+zHUrok5SpPmXeqeNIdTqjnKSYMu8JKrvP9qykXIUsdk06oUIkZsS1DrWLjNt6SlPYlMGIYLPB5lSwcAJsdQNptWT1oMbBVLC0Vthql6y6wc13WNn3tFYK9w2dg0XC9XadcrTAllv45oTmSuGubtCeREhtj0RMaCT7zBsqm9MVNafJyHGYOQsG/oL6ok3WcljVUsw0wlmq1LQac9th0ahQJyHWXKYh15i7LoWbUFRivcKrcu2HLoFK8InH67XOJ6+0qJBE9SkYylCrilJWSA0NYdjIioaGhlzKqLKMACpJcCsJvnr5N/nis9/yG7z7v3l9C/RfY/07v/+fJhIZpSoQrHN8SgZaqKBXKrZiUuo6uWWTmipKLkAI5Ap+tKr/Nps/gEASyvpLopKQhYRUFah5RZkvmHsVmevi5A7esqRMVyzc9TW3dLH9nKxasmppqIZDfSYhkhWLBhiah+IH+AOTTV/Gt0JspYMcLQgHLlvjnJu6TCMxCeRbdHULKVoSb7nY1xn3dZ3dWcXHZg1OfGy1zsq+oz2vOG7WKcYrPFosawmdacX1Vovkek473mbekmlNE8SgRWCe0pk06TYd7uo9lvUL7OmSjYnMYtBi3p5jxxNqE5NGTWfV6rD0h/SWDTYXCh8aXRbtgFKNSKMEO4swohpqZtGMBHatZF7TmBs2qaaT1mwya0li+jhBRh4uyJMYo7DJ5YTYiElsQeiqJI5DYTbQJA9NqDQSsU7JrCpEUJFnKansk+gBiZUTuTKZN2A7lFBnGTN9waJVx5I8uqOcuJyz6ApKp8tgUSIvIpbuCr/Vo1nouKOMhTwhqnU5uCmZ1GIc2UEKFqwOXPbmEkt9gWTvY5zFLDZ02iuZSJlT2pvY1wk3bYWWr7Jwc1q+xG1dpz1PSXdqMJxjqS0ifUI76DOpaewtMoq9GvndnFqxycIr6SxKJh2XdB7i+A6O4RLVUsIkwgtCPMtj5jgs0hXaPMBeWWSahW8XzOsBytLHWqiUkkWiK1Typ7MgdR1TV9qnVf/DJb8m+a9sBWnNfAlBhkATMl5mYcQCIylQ0gxR5CAKhKh+FPR8/+f+DT77V/5ryPJvruZd3wL911D/37/5n3C12UFm7U5ZRwwlFQVFXqBkGXoaYEcS5lLDXOnriPzH+C3JUEnypzUtf8L7DxelQJJAokISgqqqEGXO0i6I6jaW4lDzZbRoha/EhK6Brtp4S5Bjn7ktSF2LZmpiBBGBmpK6Jo1EJysnlE4N6zJj4mnUI41IDlD1DeQwJNqzGcwrxp5EPdGJ5RBd2YB4Sb7tYpyGiEGDWL6nHTSZNRQ6kwQxqBNrN7T9NsO6yeA6xNit4VsjmvOKUbNOfreklfeZt2S86zm9ic58t86i7eL6c5pTl1bDZlzv4C9usFchG3MVv9ti2ZjiRlO8sUnNM1g2OlTKlMzIyMMAK04xCxdtVcPMdAZpiuMpTG2dQKuR6yZR06LQF2RGTB6mpElKrgtiRyayTVK3gaJ4mOJTeiXKqPk5qg9V/CmSV3wS81MzL1cncevYkkN3kpMWc5aDitLusO0LWKX41gq/2cSrLBqTjECasWiqSEaL/qgkD32W7QRTsVFXIattk16gEEkLCqePM0yZ1ASNzCArJkRek4PbirGb4wmTPLknqrc4GJac1Ax604R810PcLjHlOqE6pR4OWHgqm4uCpO/CZIFFi9CY4Pkyt3Wbwc0SbeCwdEN6gU8tbpPUbFZuijX3cXyDRLMJ3Aw/C2nEK7xVg6LpEnsFizKi7a+wfAXNUCkVde1QQQJ5vfalH0K8kj+t9nXwAhVStf69kNaHn0pWoCc+VR4TqwWxWZHrCrmqIjQF8cMvgirhL/7pP8g/8T/7fb+hDPim9S3Qf41UFCUvf/6vslMWiB8+NioyKCqFrpEaJqkuE9cTlm5CGCWYSco68v4EcCGt0ywCpIo1zqUflpb+CtR/GNJUQGZUBK6Bplk4kYbmJ6RVwKqhgmXjJga6H5HKMaFjYEoWjl9R5SGrGiiGhTOFwE6wpD6kC+INh415ycQVeLlOKsbIRhPVjwg3DdoriblTUkt1EjlCUwYU+Ryv7LN0Mnrzipteg/J2Ra3s43sl/UXJxXaTtFrRTD2WDZnuNEHaqBNqlzSWA07rdfzJgs68Sautcet08L1L3FlAf64x32jiNyZ4wQxv5tJoGszqHVbLe2w/YmOpEXaaRA2VXF+Q6xGFlpGFC+w8x0xclMyhngjMmmDhaUwNg0xtkjkmubEk05dYcUFmqCSOS6HX0WUXrdJopCUtP8FalWvHSxGT4hNpwSfHi0zkWqR2A1Wu0Q0ErDICc4XfqOFgU5/kZMWcVVdQmS36i4IySPCdkLDWp5Vr2JOEhTpn1bBpJyppuSLxmni3BWMvxcGijOeEfZe9ZUVgBGh6dw3+XYutpUSoB6h6G3kVkfdcxM0KXakRKQtqWY+VI9FdVYyaNtKFj6Y5RNIdtbjHqqays4wpd23SakktrbNwdNIgwfQzbNvCd2L8KKSZRHhJg8yzCZ0SM0mwgwhHd8ldh8gt0bMUL/HRShNVlqmokKUfJlfkH0XWEiDKChlBJX06dxLVrzyvCsiljKVREtcUCtNBVXS0SsfN1y0ypFIgCQkUGI9z7qdjBu3ubxQGvnF9C/RfI/38H/tfc9ZaUamflmZZoRUVWl5gpgpmqGFoJo5pEtkeoavh2zkVAklUUIpPEK9+dIgqVxKICuWHK7paP3oKSUJIn3LzmkzlWDi5jRUUiDzAtyoyx8asbMywgiJk5VZUto6VGRhRSCCnpK6Bk5sYUczI06jFGrEUoehdtCAi7BlsBhKhmWJVJlU5prIczFFM2DLYDAQrJ6eWaYRaRDOSGdUN1PsEadsjUq9orgbc1Q02ryI01cY376kvYFz3yO8CvLKH75VsLXNEp4HfmOENl7TnGuNtD79hUlstacw9mi2VSa1F4NzhBAHdpcKi1SCoT4iCBe7Upla3CLQ6maMRaksKdYWtZlRxQBnnmEWO6nsYhUQ7T9G9kpmlEWk2maaS1AxyY0WpOUiah4GBnSu0kwxvVaCuKsqkoigDEtUn1pN1WsbTSByX0qihSy5GqdKcZ+T5HL9VUVot2qFA9jN8MyCs13GFiTPLSMWMsKYgG3W604IijQi8mMzdpjGu8K0IVd1A9WNWGwadUCLDJ7c72MOMiStoJCqZ8EmdGtZVzp1XUcs1smqMJrdJlAVe2iVwKporwcyz2RxGiL5NXs1x8wYrV9BZlYyaDtIkxKJOaI2wA1g0TXwnxQgC3KhJVDOJ3BR7GqIHDpZpsrJSfCdF9wOsyCQ3TFZmTlCrUGcJelGCJH/KqkhI0trJhQSVqD79ff1oW8o//Fk/o1YyCBkyQ6OwHHTJpJZqGHGJmoSURUZFvrbzyiUCUEuJv/b7fy+/61/5c98UFn7D9S3Qfw10fXfLONFpy1vIRUUFVKogMSpyOSMqM5Q0xYp83DDCSz101yA2DQpZQkglqBUV5TpfKCoQFbkAqgK5kn5URIEQSKyBLklQauvp6W4IahoRySmJraNqBl4ko8cRsZSRmDqaYmGvBFUREbkgGQZWqEAWkro29hJWdoFVGZT5iNKxMG5TpraKG2vEaoQutajSJZljYdxmRJ5OP5RYuRWDVclVr0aer0EdugW9VUmyWScvA2qpR+hC288oe3US5Y560GNYs+AywhUNgppNNAtoLBo02joTt0no3FHzY9q+xqxVI6iPqQcr7LmD0zAJa3Wi2Rw7SumtNERNQ1JdMl0hrqmUypJKTSnlhCIusYoSYg+1MKjnGVpNMHM1VvraHpfbOgoaWmXiZoJ2nOL5JVJQUSQ5ufCJtZDEzEhsiFyd2K0jqTUMLMxCpR1nqMuUpR4Q1F0sbOqLnLxcErYqSqtJKxTIQUZoRoS1OnapYy9SQpaENQ1VddAXOb4HjVwmKwJSp4Y7FizNFFM2IfaJeg67vkSohehKDzlKCLdNtnyJWItwiwGBVeJGcOvqdOcpZcukygJs0SEyUpxQYuhoaNMEaWCRMMVLW4S2RiPMMOoWiZWQRTF66GFaNqGVEhkhjSTEieokNYvYTomSDC8JsYIaad0iMQt8t8RIi7Wb5YcpRAFCFmsnl7QGuJChkiUqWVlbcyUFoUggrxe8Kml4mYkTVSjxglSkLOyK1NQpTAtJWbthkGTEp0j/P/4bf4nf9g/+Y98YH34j9S3Qfw30H/yh/x1Wta54Wy86UIWOq+gUhklmuYSmRWREZHGC5y8xVyZa5lJJ68VbqiqVLFHIINQSQUkpV1SKtn78FAKxpv0a5kIgJBlVUnBiBT1KKYuIwIPc0nFKCy0qKYuI0KkoTR0n09HjjEzKScz1pHUzLohJQWugRzGRp9NIFBI1RVXqyHFC3Fnb+eYW2LlGJiVoahspicn6Fsa4JKzpyKMUVJtUvcMLYerobIxTNNUm1CbUQ4lr10KaRViSR2TltPyC675HLkK8uEFg1YnsW2qrlFZoMGu5RJ5K7K+wlg5OUydya0TmCjvKaUY6gdMg8ObUwhX20qQrV0wtnUi3yFSZzFVAXlDJCUIuqKIVVV5g5jXkwMQu1xY61VVZ6DqyoqAIhVpW0Qpy7FUBoaDIM1I+wdzKiW2J2NVJncanWaImdiHTinNqq5w8i4gaBblZp5lKaKuCuRoSugaGZFNf5mSlT9ASlGadVlghwpzIjIm9Om6hU2VTEs+iHUCshqBtooUZQU2insqkIqS0HMxZztIR2KVKUYRktot1W3DvgBtKTGyFVliQ9yyk+xBVdkiUJU4qEzoaG2FB3rOp7n2sqk1o5ViRxMQxYB5i5k0WpkakJ7SyCDupkzg6sZ3gpBFa5GCaGrlpEtgF5ipCTwxcw6S0DVK7QCjFOq346dDoVyy5MshQSgpCBllR1/lyWUZGQUVCQkUpwUgkrCChKEKWVkFsG8iWiVmYWLGCnpYoeY5S5OtUJhJnV79A+lv/EQzt7//B0t8C/e9R//5f+9f5cGB/KpGQqEQFeYmc5phZgB0FGImJbtqEjktkqyzlmMJPcaIKTZIQsoZQVMSnyKRUZISqUUqCUpGo1B8+jpbrYotPJz8SEmqpY8QCiohYW0cqimJixTJaGpHJOYmloSg6RgBSFhPpBaVp4eQqWhoTWgUmBiLzSR0dY1XiWyVmaVBWSyrdQo1TYlejE0nERo5ZmpTVEgwPOY7IexZVFmLSJDJz6pHgtuFQ3IVYZZvILumHBVnfJRUxXtYgtCS6qxyxYRErc7ygYmg7RJ5CsvIxVi5W0yByHGItxA5zarGBb3tE9pw8Dqj7BkPPJHRMYi3CCnM8RUESEnM0At0gVQS5IyGkJUgxQioRUQi5hJFXIGxMkdMoK+SazkLXcPKCZpBj+SUiEpRZSib5xJpPYlVEjkzsGOR2HUX10IWJlcs0owwvKFBWFbESEHkqimJTX5SUWULspuRWn1YuoQaClRIS2zq6ZOOtCooyIHIqKsOj7gtyIjLLwbqvmJkFJjoiXZE4Np1QJtFiJLWHEmWEfY12CKkaIkmbyFFK1NXoJCVZzUCexci6ScYCu2oSWQVOJDE3NWQ/QdZMMkKsTCEyFRpxRtUwyUWInQiCmk5sKhRJgp44aI5OZmkkQUItC7GSGom7vhYnKV6WoMUaum5S6AX5p3MgWUjrIEX69JgprdOUsiKDkFCRkYWKnCvr6ulKQisqKCuULCWrQpZ1icJ0sSQLbyGjRgnkEYmSE5sluSmvazpYpy//zT/8z/FP/b4/8Y2y4jdC3wL970FRnHLxn73joDLX5fnyuhtiocskhiC2M2ZughlE1KIUt6iheiahJRMSUkYZWgFGkSJXKhIyqqIhyzJkKpUiUykSQpEoZXldDScLKtYLFQRqJVCzlEqkhKagMlXMSkNLBBQJkVFSGAZ2aWCkJWWVkJgKsqJhBFBlCVFdxihUiipGaC5ampOYCk6qkMkZmlJHylIyx0BfVCxNGSuTSZUUvWojygXCcMilJV6uEpkSnaig6tkUYo6TSfimhrzMkRSLVFlgR7ByTJgmmFKN2C6oRQWmMEhsi0SLsaMcN9MIDZfEWlIuYrzQQLUtElsjXUR4QRM7V1lYHqk5IfcztNDEIQcElTAQhkkmS+Q2ROtPDqiQohByMAsJYguTEuQM2a6wkwrLL5Aise7bIgXEakhiCmJbJnEMMmsNc02YmLlMM87xghLFF5RJTmykxLaDIXTsICMXIYktIQwXd1EhkoTEysicJl4hYwYVKyUksTUULNywJFISJLmFEuWEnoSbKxRSQmnZWMuSsSmwK4WyXJJZNvZK4OslhqxR5Qsy20Cb54iuSVXG6KJJpmRYqUxgKDTigqJmIIoYUzRIjAI7llmYGvIyRZN1MnWOlhTork5iqKRKgZnlWLlFqhhEVoq9ytCSEt0yyLWU0Mww8hg91bESi8w1EJrEp3qhT/UVADISMnIlIVcycimhFRKKAC0r17MDyhKlLKEsSJSUVU0Gy8FLTOw4gzRipaXENYXcdNBUHa3UUYWyPoeSYKSu23EcHT75ZmDxG6Rvgf73oJ//P/zTjOVoHQkIUIVAS2SsUKEh2ziWuZ64UlOZqTF1f4XpV4DFyrSIJYm0LEnyArUo0AtQyxK1VJCkHEoVWZYRioomSVSSvO55If2KU10rCqQ8IVIqCkNFknWMXEHNMkoyEl1GUlT0XEHJElK5JNfWcx21rKQiIddV6qlCrhSoio6cZaR1nXZakRoFRmlQFisqzURNc7KaSj2VSPQSQ2hkUo4qaaRKihlLLC0daZGiyQaJlmHFMLN0GCcYUo3UKKglgrxhUlQpdq6QGBLKMsfKTRLdJTVDRJDihjqjlk1iK2TLCD2sYbR1Etsm1QK8NMdJdBaOQ2yPyYMQOdFQJAVbKSnlnErSQNfJZJvCLImrEulTnxxJxEg56IWMlOoYgYREgR5VyFFFkWfkUkSihqRmSWJLJLZGZjnIqoMqdMxcopEWuGGBFpSUaUUhYlKzpDJs7FxGTipSJSMxDVQMnKikqBISo0KoNm4iqNKCVMtJLRdLaGhhTGoWGJIO+YrcNmgmkMkJyHW0OCNxwc4kcpEhdBctKogtsHKVQkoRukOZJyiKQSEFmKVKYgicRDAzNNQgRVJVcuFj5CqJLuGkBVXLQIgEs2wRGwIrz9EKg1jXSfQMK03RUxPFVSkMlULJ0fIMM7NJbJ1S10mVHC1P0VITU9PI5R/zlyNQxLp0bl0dKqFU60lEUlGhVAVSUUCZU1GRi5xMg8hWEJ/cW2aYUBQBK7cicx1M2aQWaZhJgZqGVD/mT5dQ+E//5T/Koz/5c39fD5b+Fuh/l3r5+pe4b3bWBT4IRFmSqiVBlbBMcqwowItj3MxFrpmEtsRKivBWIUYIDjahBWVVUqolZVGQFxVaXqIXFaqQkMsSuVKQq2qdU/xhKwBJ+WTeFShlRVmlJLag0FV0WUNPQckTQqmi1DVUSUPPQCoyEq2i0jXUUkVNc3JZUBo6WlgQGQK90qjKEGHoqPOKhS6jFxK5kqPIHlKeUegaWiBYGSpmBoWSYZQqqV5SS0sKz6AqU7TKJtMrGmlFYekUIsWsJDID1LiArkmuzLEyQWhqlJMMO62YuSapKZP7CUbiokkaqamTqRlWUmIVEpFmkeoriizDSSwUVyMzVHIlQS0ipMxBDcCWSwpFWvuf0ckUm9wsSMvqU7OnElmkyHmEnEuosYwhVYhUUOQVhUhIlZjUKElNSC2V3HKQFAcNA71U8fISOyrQwooyFZRVSqpEJKaEJFvYUUmV5mtvvFXDKWW0NCeWUjJLQ5ZNrLikLDNSu6TSLJysQs5yUg/MSqIsC3LdwFyVhFqOImvrmbO2QTOVyJUESWohZwVZTaWVCnI5Q6ZFVS7RhUumZOiZTGgoNLOSsqFRFRmqsCmUOUYm4esKcpiDopOLFXopk+gK+BlabiHZKpkmUyQZalahoZGpCqlaoBcpemahWyqxrpGYGXaQraFemqzj8h+6bmXkSqBUMrL41EW0rJCrcg3yqqAUJRU5iQaFJlFoMqVh4uQmZpRRlCFLT1DaHl5hYQclUrIkkWIiGzJdozB0KkVe/6eV4C///B/nH/sf/rPfGDd+vfUt0P8u9Qv/6p9nUBWfctsSkqJR6Qa56RJYFVEjJtMT6v4Ka+WCsAkNQeBEaGGMlWpUmkGmFFR6SalKlFmJUHOqTKDmoFUFqhBIZYnEumGRjLTupfupNQDF2qqVK+vhAFqhoOYlVVWQGxWVLqELFTWrqKqMXJeQVAU1k5HLjEytQNFQM0GmCrRSphI5QrVR8oLCVrAKiVIqUCsFyphK01DzgsKSUHOZTKvQS5lCBy0vEZpJRYJRymSGhJJVoJuUko+RS4SajBwVSGhkcoGaSpSGTiVyrKRE9nQyQyaXMqysRC9VYt0k13xEXmBmFdgmqQnFKkFPXTShkxkGqZaglhlSqSIVBnpSYumQKBKlolChk6kWuZGtR/oVJUpZoFYpSqUhFSpKqlBlgkqk5HJKpmUUGhSGTK7rVKqJIhmolYqZC+y0xEhKyCqqMqcUMYWckesqsqRhpRVC5KR6hVBNjFxCiisyJSfTVVRJw8wKSpGSGRIoBkYsqIqSXFdwcolSzqhUCy1fDz0xK4WqSKlUDT2CWKtQZBWKgELT0DNBphaoskop5yiVRKaBkQlWiowcF6BpiCpFEx6ZXmHkglRXkZc5iqRSyCVGJhHoCpVYD6VQJYVSk6ikdZWyWigkqkqip9h5gVwUKLmGpMqUmkIuFyhFhp6tUy4/rApVEFCyjsSrT60AyhK5LClFQSEXFEpFpkGuSxTKerauWWlYYYnIY3xHUFkuXmLhhAl5EbJyCjLHQdV0nNzAjNe905VqfeZ0txqRZDmm/vfnAan8Td/AT6P+xn/473C6kXG6I3GxI3PZr7j3QlZMkJYTGtOMVmyD7bCsa2QixApjrMKkNHUCXSAlCUYksGMNrdSQJB10jUI1yHWF1IBUFWTKD1vlFlRVBiKHIkcqUyhThChIVSg1BUle93ZRyhJEQa5KCFlFq1SU6lPFqiIjSQpaDlQluQaSLCPnBYWmoOXrftOSpKyvKRJaDrleoaJQihwUGbnIyVUFNa/IVRmjkMhUkNISoSgUlBilIFNAyXMkSaWQc7Rsfa+UBbKsUaoVelFRKSqFVKDlAkVSKRWFQsmRMoFWrLvuFVqFKAusrECWVCpVoZRy5EygVlBpBoVaUSprT3JVVJBVGGmFVVSohYQiFBTWUM51dR35qVDI6xRVWWVUxRrMBRm5sm7jUOgSmaZQ6iYSOqpQUSoJqyzRkgo5rajKNbhzOSdXS3JdQ0FBzwSlyCg11j3viwqqgkLLKTUdrZSREyiknEKXUCQNI6uoREGua2iZoJRyJFlHyitKTUYtJUqRU6kaalZRKBV6JVNVBZWmomSQqwK1kiilEr2QKVQJpagoNRWpLBCyTCmVqJVMrgjkvKJSFURZogiZUq2Qi/XnJUSBVJSoQqNQNEoJKDPUQkJWPh3kSwVyUaKVErK8/gwzFapqfV3NBUou0PIKNRNoRYlSlMjF+ouAMqcQBYWUkykVqSGTGxqlpiNrGpqkY6YaUp4Q6DmFaWJXOnaUkhUBCw/KWg23cmnPVOojH3U+JI/uCPJrlsUVUXLBX/w///PfMEF+/fRthP5fUUIIPv6NX2TT7CKEQCjryCep5fgiJYoi3HCJvXJpCIulLViVIa0gxgo18ppFZhRkWYaeaShCX4/U+iFYVKgkCcjIpQqRg0qFqPh0FFqty6L/f+z9ebBt63rWh/2+dnSzXe1ee59zz71qLiCMQyNsEbALbIODnRRlF+VAsJM4cRyDMY0DKECFAtsYI9sVbOEQUIEdG2JULrDAQAAhCAJMJyAIjBCSbnPO3nv1a812dF+XP7659j2SLuIKdM+RdM97zqpae6051xxzfmM84/3e93mfR+SJuEjA60RUEo1Ee4EIAScCXkmklCgPwke8TCQjUUKiYua9eymy4kx0RKWQURJFQglFCo5gTAYbCfoNO0FCiCSt0QN4JSh9whuDiAkwBOWQDqJWxBARGLyMmECmaIaATuBVQvkE2hDYYX1EBYO3Gq8GhI+YKIhGZ0pnCvk9ovFaEZRHhoiOiSQ1QZFvDHiIAeEV0iWsCxijcVIhZQalqCzeBKL2eJ3w0aNDIvpEIhBF3v0ERTZm0JokNUpaZJSZRudyYzrFRPKJiCdIT9CQlEZHhXQOJzzeSIQ0FC4RQyDadHhMQvqQn6c0Iimsi8ToQSqsF3gZAIXwAVcKqpA9aZNUSB/xBnQUxBSI0qBDxGswQRBkQHrBoCTSC0ItSSGg0UQR0EHgdC6BCKWIeDQKpxO1S6RS4ZVHp4AMmmSylHMZPTomFIqkJYGnHU9EJYkz+SaSRo/ynijU5yRaUkDErGEuYoDoSUSCiAwGRgPRKIJWSG0wyWCcwo4enwbGUmNlSbVJRL9nM4FUNUz6kno74MKGVR3o64pUGpSwCDRCJF57xWq7YTGdfZhQ8kWJjwD9Bxnf9Pu+nht9Q70NyChQSOpUMSkquqZiU2m2qiVtdzQ7qKnYloHd2DHxPcVQ46yltx12GJACLDZPzqFJCqLypGhIjPgU4TBIpEPWwFAiHI5GIETEK4FQ+VjkARwQKfN7UUgPHMpDEYmKEhESKUWiFEgpESkSpEDGRJThwOENJAEyRKKSiKhIIubsOPos8RsPfyMeJH5DQCZFFBnoolIQI1JAlAntBckoSAGdBEEl8BGkJMlDLRUYlSGKHmLEhAhWESUE4ZEh5WNQMpe8XMIEAQc3nCBT1tBJkZgSwidUEBk4D4JpQiqSzsMrQWZOdBR5JyTRJA47IxWISuTXkhohNDJlcTQTEzJEpAsIL0h4gghZgEoCSqFSIoVEJBKkRCSJDnlwLCryDSKQpRxEIkqJFBJiJIlAlALhISpQQkJ0RJ3XKaUEQueZBJmZIlHmz1KECFogkiKonKknSTZQkTIbLSMIIpcjeiGRPmZp5jggoiTIrD8uDmP6yR/G6smfmxwjMoicWAiJF5GSw/okDUISFEQZUYfJ54OKCyLmz0DGCHgCiSASo46Hm6ckKYWQBpM01uedDn6kt4loLcUgka5lbSO+rJj3BeWuo2PHdq5IzZTpWFE/ghlGlOsgRAIdf+A/+DX8H3/r//P7Xd8/0uMjQP9BhPeB977zEj27YHUykmIA79Bdz2Q30Kwsup6zntZsJxGzbqkGjbOWoRypdiNmLFHG4O2AHwPaOaSQaKVJURKFwMvMZglJoTXEdJgQlWSp0cPYdO7zpMMUXQYLERJJBAJ5uk6KgzIjkETWf9FCvBH4yspHkhQdUQpUzJN74jCYKkS+SSQ4ZPW5FinJqkkiAgpEzAMiKWV+cZQJERVIcRBbkiSRsj6NzMcikyBJgQwHSaanv5fIf1twyOAOHH+ZaW8iJmRKRCGJ0uebzEH3JklxoHbmzyyl/F5ESKiUB7REPgA4iD49PSdxuMkBkYgQWUfkiVWU5JNOfT4elSIy5WNJPLGPMjAnKUgIZMpa30lkhocQ+ZiSOOiVcFifwAHQD6yPmPDEw+fHm889KylnRkgSMZ8HMR1uoBzebH5chHxDkQeZNyEQhIM+UESmQ8U1ykPxNZFUfr/yScYZSDI34yUJFQUokW+uRGR4SjjymqeQyOM8eQ3TkyBuCoekBVKMhxH/lA1dUiLImHtBUhINRKWzl65UyKDRDtQYSHHAFRIrDHYIuNTjKkUlCophxMc924VGFU+S0S3B71gXgX4mcFoTywKrG15fX/L8/OKDgI4PLD6qof8g4vf/9t9Iv3/J4tUdb71MXNxbjocZsl6yOap4rEZkv2baSqSt2TaZ510OimQtgwpIP2KiJCiFk4GYfK4n+4j0IrNakBk4lD6AVgbLKFP+OoBCEPlafJq4IwlkyldyFOlQujnoNR6YMk8Xu0giq94JwZPG3fvkvzJwvHnn+QL+fKK+GfnFG0Gy/Afy6yYOaPrmrz69gvjc63yf57zvB9/7Zd73xfd71Pt+83kYaW90zZ4elz7vO8mg+yRf/P6/I77PP5M4KGkeACt9r0/uc0f+ZsL9fdqwnzuY7/1u5RvZwfe91vd5MyJ9789ZHMbo5fvA93stnHh62vd7T+n7ffc09PN9np7yTuBJeeLpxEiH9RTkG/ObtyZiBu7DiH+SB+etFA+gnnePIgIxEUWEg51iUPmGkum5udcjI5gR9BggOkaZwV55AX6gswJMSdkLGDo2E4EoKmZ7hVmv2cgtN8eG/ekC05yxMOc8X0+4eLfjj/6HP/qUGD8C9C8w2m7gautpnz/j1XPNXXHP0N9S3K84WgkqGvppxdY4VDvQjBpfFDjp0KNHJ8NoJaSACvlkdSp7KJLCm2xPIXLmdBAxSiJn2lly9JD7vMGv9HnwSyDk07jG+y7bw98Th+w3iUOmn3I2K8Qho33604cMmZRLJTkjzC8c09OxHI4g5edL4gGTYi7ZyJQzT8QhI5fkJPKgRwMQD3V5Dj2BJ/3qw65AHKiaiXTYUeRsMopcDsifFYSUt/G5BHAQSJMCceA+RwWelL0nn7YBMR0en3FIPX3uQiCTgnQozxweLmNeq/QkX8xBe0RlUM1j7dlhR8T8PqPImb08KGo+3eTy47JGTzxk1Rnbss1gvhlLCOKgBy4PUrOHjF3mG0sWtcpZfhB57yQO54hIn4P/xOH1hTwM9xxuwiJ73T7tZp56NfGA0EnINzu8z9G3D6UXefgMiHk78H3Ow8/3fUIc1jYdzhPeZPERmct2QiClOFwLGp0O55YPeB1AKoyXubFsBSZp1ODotMMXBU1n0W3P1g7sFhWlnXG6Ljm6Gagvb+mGa14d9Xzq7ZK/853f/gNf+D/C4iNA/wLjv/2tvwp7c8Wzlx3H/RJ3dMLDWcP9bCD0j0w3njLloQqXOoouoqShs7nuZ4IkKkXE5RqqkgQlCCJvO1OMyIPi4lOmnb7XhfC9L5H4voz6CRiEyAAShMxZaEzE9FQfBhkPnPkUciNWHnQ1RAKh3mynZZRZMEzINxx4EbPBtUwim2womZtZTyxKlWvVQikSmV/sBYiQJ2hTzIAc9OFnSIKI+TW1ONRTJUnlerM4cPCTUAQtskhZyIDllYT4ueZb/izJTdADt1klndH2ALhe52nbmASJzAJS3ueSiRdvfCkVGiGy56VKCnGYXswc6eyek4QnyoiXAqcEUQuEzHV5mWRuhEYQ4SDZoEAKgTrUjZ2Wh1KTRKZAkIKkBSplhlKKnqAPE5QpEjUHgbZcH5c+EaTIzWkONfMUiTIiokQEx6FvnhvcIZ9nMhx2ZCEgRC6BiZRvOHkNs10i4qBFnvKaP92+s+5QfJPsi6RAHXaTpMMx5ufm8lU+ayVPJ+/hNi6fzl3xpvz0pFH0JAXw5Nr19DkSsr6RF7nHoHxuoCatsU4ifJ5utrLADp6Rlm5SUouG2Soidw+s9Jqrk8Tu2ZKFOOVjl4b/8bf/ji8eaHwI8RGgfwHxsF7xuqy5fnvC1bRFr284vRcs/Aw/nbGaQnJb6r1AmJK2zCBuvcoUveRR4aCNfgA5gcz1SoCn7PNwIZCeSiBv9rmHrOtzFeyDqygq5IxHpERIkahyjVgl8bltreTgkA4yhdwcFQmJyk3QEElKoYLHi5gr5DEipIIQiTo3UmPKz0kpkpQ4sCtyjd0pgfKJaAQxelTUBA3KR4SWJDw65AadDAG0JhAxnkyl9A4pNMFInIyZ0hYUwiRGmRDBoYNASInTuTmqQt7tRC0YFYjo0D4DqhAma4NoibeCQSu8EkTpCckh3JCf7yI6gAoGnTQIhdQCIRQqGozXSA/Kp8yx9gMhOQK5qTlqjdOCaARSiUPTVKOCQLmRIBPBCETKXP+Ex2uJUAoVBCKMufmqc7lNhUgQmXWjRaYXBpWlYMERtUKHiBMxl+ecJyiBcfkGKaRCRI9XCuUFXuXHRZ2b1EHlm6eQihRDvvHqhIqJJDP7BJH/lg5ZdiJP1B4kKMTndkJJSYLIGboi5nKNkocyYMg7zhjzDumggMgh2YgcgFuSdwLINzuKN2e8IJcQE2TWUT7vVJKIkHnqSIXy4KUnGI0dJdKN7GqBNln7Pw0b7qeR/dGUslxw8qAxdzfc2Ts+fZH4S3/xWz5oSPmixUeA/gXEf//v/xqOXz7y/L7AlqfcnljG8Z7mccu8LUlVw6aMqKGl9BpXqDyw4WSm44mIcXlPGg50Q3nY9uZywpPY/1Mik96UO0R60kYHFUWeIOWghZGeMkkQ/sCSEJmdAPJNiSCKSNJZC0b4A11RZ3DUHhKeqBXKR0YNOioikag11ge8ShgncNIjhCKFSNKZGhcUGJ9wKruwR62QYUCiGQ+/i1qTokMlw2gEavBZUS9lDrS3mdeuUp5CTAT06LBB4a3CSYEMI8pLpNIMViLSiB4TioJgIYiAHEd0kOhY5EzbSKIVjIWm0wonIwFPiiPajZgxYIaE8gITDDoVSKXBgNIKJTU6GkyQmBHMEFHOQRhJYsSLQKsEfakIhUIYiZIGEw3GG7QLeByDUWhhME4gfE+nQRiJ9gozekZx4JZj0UMiRcdoVQb9ITAaUFjwnmAl2gmcymwjGTzeKrQHJxJKapTPpYjCSwJ5FzOqiA755mJcyGuSPApFSAkdEs5IhI8IqQnSY33eRQrnUVERpTxQIBM2iLx7UlnLXPiUGRZS45V4s0PMhs/qkMDI7MYlNMhcPlLkEtWbss7hnIe8u3y6MHLTPO+4RO6rExSHbD28uZlZH3EMxMJSDQo5tKxrT6wb5kPN4s7jxweunxmYP+N8t+Dbv/EPfVBQ8kWPjwD9HxCfefkZPvOs4dUz2IZbFjd7mjRldVSyUXvK3Z7GFfiqxDNiBxDa4lTWZUFkSVwIINShdh15+uifFiCJgw70gdkRibkMEwUiZNDODdOcyYHMGQwqZ48pkITD6wTaoNEYBykEvI54pVFCYQLEEAg6EaTBeJFrkyYr23kVUUKDcwSjUS7gTEInRZAeoSzSjwSlUKNnNAk7SkYdKUaBsxlQtDCMKmJGgbMK6ccM6CphfZYpiIxYZ+kt6GHMJapCEuKAGSKaCl9IRuGww0DhNMLq3AhzA3YUKFnQlwYvRorRYZ1FpwKlNamQDJViZxWjTgTpCKJHuRYzjOghYEYoncXEAqUMqhD4UoMVSGUPZtAlZhTYIWEGhx5aXOoJ0uN0YmdMViEsJMoolCiw3mB6T0wDXSER2qCdRPgBpyCUChstenCk5OhKhRQW6wT4np0VCK0pXGDUCZkMwmfdncIJnAgIZVFuYCgSxml8cmAKdO8YLGgv8SLfKL2Mh3USqDHknaMPIC1OeuyYezraedAGHyMyKUYDxsfM3TeCSOb9SzKVM6gEMaBDRKKIMlNRvQiI4FEBpFCZ9nmoyaMgSXWgi2ZLOiHSobxyAPSDyUt60/g59AOSOPQTMgU3J0cBpyIKhRwjvY0IaTG9p5cjrqqZDCXVpqVLKx6XFQu34ORqy9Be8XK+40/8kf/mgweXL0J8BOj/gPjmr/stvHgZOHHHtKcLHpo9k1VHISfspyW9aClaj1CGziSUH/MFpLPcpxTqoGf+lHk8USbSoRZ54ESLvH2NIuQTPPCmZqtjREeBJmfpuTFmgMz1tT6XP6KPOBWya5LQGC+QPuAJBJMvLO1ARI/TkWQVJgqScwQrsYNkVA6pLMo7vJVYlzIwB00MDkwW9RpLRelgtBETNSMeO2qGAtQwgLKMwlGOirHKgG2UpZeBspe4SiNdjxKa3iTKwYO1tIVE+Y6yl2hdsK80QQyY1mNjyVgqBp1QQ4sdNdIY2lISQ4/tIzZVKGOhkoy1ZlNZWqsYpWekQ447zDBQ9IGiExSjxYYKI0uklbhS0zUKN1HIQqJEBvvCldg+UXQe2w+ofo+jw0vPYGFbaPpakSqFsgZDTTlIhGtpCwmlpnSWousZpKMvJYaSokukuKctFdpY7KhRY8uoEqEylIOgFwGpLWZ0dEXCOkPAQWUou0hvJTZZiD2xyENJg02YaIlhREqbm/PRMBZZK8hZjRxHhFIEMaKjwhVgRkewmhTy4wedXbfQGq8lIXqM8ygMwRic9uBDphWiidowGnI5xycKDxJNVJpgFdFkXR2ERiqDkKCSRodDD+FASZWHZnwgEsXn+glvSEKHxr44cNuDUAgUKTm81pgowI90lcDKgqIf6cWezaxkkmqq1YqbpmP7fMFUnfOpP/e3iPHzs59+JMVHgP4DxN/629/Gp9+yXE226NUNp48GN5mx1zumW7CmYl9JhDvUywtBih6VBF7k4Q2RabqHOuGB3/vEA47p4LiVSEK9UVKMKUAMyBhRjjwanuSBaqizdrrKdVihDDoq9BgQPhBkYDCCYAwmHrbXccx1Z2OpnECPebw6aI1OFjv4DBRB4+OINxYz5CyvHDSDckhdgnO4QmOGkaFI+XciokVJjCNFsOzLhO09sbKkMGBjwb6UFN1ILEq8GChHRVsITN8jVUWnAkUPoTZ0ymH2e8rRIArNrhTg9lS9QIuSttG41FN0I9VYkGrFzoIc91SdwAiLqCRDo9lMLLtCMKgRJ/aocYfpOqq9o2gTZW+oQo0WFapQuMawmxpWVcGmLhgbjSolRlWUsaIaq/y81lO2HarbMLJjlANdIVjXlrZRUCmMthS9xnR7OuVwtaIIFWUbiHHPrjJIban6XBZoTSQ0mmq0lN3AIAfaWlOMWTVRlCVlewD0WCDGltFqbB/pjMeIEjn09KWh7ASdjvkmNXQIWxHciEmWQXjqTjEWEds5QlUSnUOLrI5YDTCWGjWOKF0wGkfRC5KyjCbPXdgRUBZvssaPco7CCZIs8FYQhQPn0WNEY/DG4K3AyzxjEZTM2jhSZgMXnSdoM6Dn8mFKjsSB8SMTSeZdKTE3zROZNfVEgBVK5kE2kYgqawyRRoKx2EHB2LFrJMZUVJuex3pENEecPmjK2xsexCV/4P/1n3xoWPNDFR8B+g8Qf/l3/Ze8dV9iyjNuzgxheGDZGvZNCcOWqtcEW+QM0mVzCpEiMpCZDweaX2aAhQNPWCGIxJSHRxQCKTRJgpcJLyLELB+qHNgoUClnL0iL1BqhDCiD14ZosgBU6QTKO0IYcUXKY/lY7BCJ3uGMJ9gCnSxm8LjoGAoJ2lKMiV4HjCgRzuFLSzkEWpMooiaGkWgqim5gqBR1J+i1pwgGR49UBWLcY2VFpxJNKxkagx72WFHSGkfVJcZaI8c9NtW0VaRoHVQFno5qKNg3mkBH1Y4UoaafaDrtKNodZW+RVcGmFkS/pW4TVjbsGkuvesq2pR5qZGXopobHpmBbCHo1Mootst9g93uqnaPYJ6q+oooTjGrQlWKcGrYzy2Nl6GxkVSgeZyX91KJKhVEVVWhohoZqLyj3gaLt0d2aMW3pVM+ugPtJwW5miI2hDg3lzuPpWNUGbUrKVqLGHfsS0iR7vJZtxyAG9hODlQ31HvA7No2kiBVi3NPXmrITtDqgTInpO7qJpB40LnVgS4q2p22gHgpGBoTNazaWGj0MSF3iGLDJ0JpEPUbG0qCGASULnBgpnKEvwPYDyRS4OGC9xheGUQX06CmDAGVwNhGCw44BgyFYw6ATPoxo76gc+dzWmkFLgvZ4ExltyqCuFUnJg7mLRCFzDyREpE8Q0kF/KNM4kzKo+L5u05uJ6TyTkQ7UVYRAxixXIaTEDJFeeVJRMWklLnaEZsJynejdPdcXBXHxnMvPPDC68HmQ4EdOfATof5/41m/9o3zqzLGJNyxvt8yGGY9zg2xbrKrojKMYHFIaBpVQLiKEJomQGSa8b0AjHjjFCVSKmXaXMotACkNUBwU7lWV48R455lqzDjI3xFR2NfLqIFxlD2p2RpNMQRFztobzOOEZSolQBbUTufEmn5QWC6pBIpyjt55oS+pB4ujBlNh2YCgFdacYzIBUdbaaqzV17+nKQOksgxgQpkIOHb4uKTtHqCp82lG7gm0jKHYDlBVj7Gm6ku1EYrYtUte0wjPZC/qJQfZ7ilSxrgVi2FDvJVpXbCYGlzIIN7FhmBpa5TMwtwWiLFhPBGLc0GwThahoZwW3k4ptCZ3q8WmDadeU+5Zq52m2kmnfUMUGqypkrehmlodpwarK1nu9ahnMwK6E+2nJbl7ARGFsSZkmNENDs9fUG0+17TH7NSFsGFRHW0TumoLtPHu4Nq1ADWt2tSBOLM1QUWxbetGznVqsmNBsBclvWDUCUZZUrcHst+ytQ6sKu21pG8FkqPBhT6pLyp1nUwmKVIPbMzSGukvsbMSIEtVt6CeWuo30lcS0A66uYRzQqqLXI+Vg6MpE1TlcXRLdgE0FrfHUXWSoDKofKKgYCoGLPXYMaErGwtKrETmMFINAygJXSLwZEd7n8lfUJG1xhcKbkVGGzEaRgVFHnA6MWhKMBqVJUqGTxHiJcilroYtEkoGkJFIkVMo72CSy3EQUiRQzdRbIfH7yxLSXCYVGRcdYSoqo0H3PvhE0fYEb12yPKpbDjNPLHW51yTf+tl/3oeDND1V8BOifJ1JK/N1v+lOcjkd0J8fcTQeqXXatb3VP2Qu6UhG8w6YsTgXZadzzvkHEeNASSSIPnySfCYcSSAGZJEnmhtFoAv4NAyNSeLAxDyBFrYjKEIzGGcX4pMRoIkORiFajZEk9CszocKlnKMAVBYqCsg+EYaQ7uBcVQWOHkVH2DKXCppLoOsba0rSOXRmwFMSxz2DdDuwbQdUZWjlidEVyPaGuKfYD+1pS7yPdVKP3O7Ss2WnHdAfd1KL6HVZUbMtIs4+4aUH0GyrXsG4k9bZDlg2t7qlWLc04JcwK1hXo/YpmZ5C25n6m8HHDdJsBvpsbdtphdluafYGoS+5mhtaOdGpL8o/Y7Zp63dGsA9OtZjJOKNOMoigJc816WXI7rdhUglb1jGyQ3T0uPNLKPfsqcDe1PC5qxplGV5ZCTGnclElbUm8Ck81IuVlD/0AvtnRm5KHR+LllMjSUq45e7FjPDYVqmGwgjY+sJgIxKZm0JeV2y047+rmhDlOa7YiLLeOsYrKPrIqAlRWm3bKbaqZ7RS86lG0oti37qWK6L+lpkWVDsevYTgVNW7CvItM20dZQ7Ht8VcHYUVDTmpHJXtDWGtv1xKphFAPVYGlrQdEOxKKkLUZU76k7QTQFfQk+OezgKKMhFJahEAzRoUZHM4BQJa6w9GViTI4QHS54PFmszMmI1x5vYLSKpCxog0mSwmednBQcXkSczo1U5XPpMkiZtYDS5/SCDsVLMnE3HgbiRJbjVQrtNDEORFtQdAObqaQZp9jVI1eznvVbC145xa7tPiTk+UePjwD988Qf/YO/m9f1I3J1zek9pGbORndM9tDVBj160AVRDEiXleZEjHkg5c1UZGYBkCKKw4xLzIp5TmUuukaRpMYZgRcJgsf4hHVgkgRpwFiSNrgiS+o6GxhUwBnHoDyjGukLSSgsOlmqPqL6kUEM9KUAU1GPCjt4Bgb6SiN0RdMCvaerIhQl5W5k30iqwTKKllQ0FG3HfmKY7SWtHSlSRXQtoaopN7kmOd3F7CjfWTaNpN4NxEmNC2tqV7GeQr3pSE3NmHbM2oLdTFFudxgzYasGprtEOytg2DDbSqxqeJwXuLBishmY+An90rI1nmK3ptkVyKbifmaI/pHpOlAxYTcv2dsBFx8w+3uqxw3TtWO6UczbKU1YUpgGOTPsjwpuFxV3U8O2HOjkmjTcUW5WNKs91XqN6O9o04pdMfDQJK6XNdvjEhYF1tZMwox5P2OyUUxXgWa1o9je4909e71nNSsoVMNsK6B75KGRxGnFrG+oVzta2bJeWEoxoVkHkl9xP9Oouma6LTD7NduZYtoW+LAjTBomW8eqhjo2iH5LPyuZbBPrylPICrPfsJsbZlvBzjhKUdOJlsZb2soz3Sf6WmP3LbGq8b6jjBVd6Wh2DlcXiLal0A37YqDZR4aJxcWBsh+wlPgyO1GpoafpBFJVDKWi0z1iHKn6iMYSbcFQSgYGhBuRbkCGgeSGnH0nh5OBUQZGDd7k60HITBW1Y0SGbHThNUSp0UJDdCRNpkUSMv0xDz4fJqLjm0m8vDeOIBTGBToVscng6RC2pty1PMwcuj7i2Y1iennNN/6WX/Vhws8/UnwE6N8nQoh89q9+F0X1jNtnNW14ZLERDJMS3IjSFhEGlFB4CSo8jcTzRusiyjw8kwsvAZkETiWEBykVQQSMSyAV3kicypmIcp5iiBRJIqQl6QJnDL2B0QSc8gzSEeJI8IHkB4IbGQpHVyhSUVF6Q9EG4jDQF46hNmhVU7cRhp7WjoSqpAgW23UMdPRNlUHV9hRqgti1DJOCyS6wLx0VFX5siZMJ1a5jP5XMdoJt6anChCHtMXbKVrVMd4bNzFBu9hg7Y6MG5lvFdlFgdmusmvJYOGabSL+owK2YuCmPU0G12jIbpwxHJY+VQ+8emW1LdD3hbm4JfsV0FajTlPWyYq86qvWG+b5GTBvu54rg7ijXKyYPA9MVzLYls3FOpSboScGwLLg5qrmeFWyqwF6tif4Ou71n8rhl8uiYrQyzx8D0safarKC/pZM79sXI7dRyvahpjwvErKDUE6ZuyXzfMF1LJo+Oer1GdHc8NJ5xWTEbZ0xXPQNr7o8KrJ4xX0tke8/9VJJmFYu2oXpcs1M922VBnaZMVyOrImDUFLPbsJlrZjtLK/ZQT6nWO1YzmAw1zq0J04Z6M7CaChpXM/oNcdKg2j3CTmlFR+Uq1nVgukt0E4Pet6SyphUt06FkWyeafc9Y1YSxo/IVmxLkMDDtBKmoaOuEDwPFPlAki6sKuiKQxoGydVTOkoqGrlC0OoN50Y+UfcT2MevHuxH8QPIjPjm88gw24QtN0BahLEWQmDEigsMxMtoMzzIkvAIpTM7glUSmLBaWG1YHCeqDPlA4TD2LEPA2S0z3JlI6g6NFVFMW9wMb7nl1UfByMuH6/vbDAaB/xPgI0L9P/Hff8FvYhtfMrlcc9Q3bRY3othhR4BgxXuJENgB40iB5CkEe9si6HzLrX4eAUBovDlrgwhAJ+XtlGG3CMaL8SDFkCzghCpKxjKWit5HR+Dws4QfEOCDdiBoH9OjQo8O5jrb09LVF2JqJU1TdgPMd+zLiiooqWKo2l2P2NciiZt4KRN+zrT1NanDjnqGpme1Htk2gGSsGvydWU6rdPm/rN7CpPDUlLuwQ5RS7b2lnFbpdUTHlsXIs1pHdokC1j1RpxmPtmT8GhsWE6NZMxwn3M0H9uIN6Sqv3LNYaVU+4XRqCv2f+EJikGY/HBTu9oblfM2snxEXD/VQg2lsWD4rCzLk7KuniisndnvkDLDYVi37BRM7RTcVwVHJ70nC5LFk1kZ3d4MItdnXL5H7D7H5kvjIs9vMM0P2S2coyv3dMHvcUq1vCeM1erlnXAzcLy81RQ3tcomcllZoyH5b5dR8Fs/sO7x+5XlpUPWG+sdj1Aw/lSHdcMnVzZo8DQ3rk9thiixnLlUK0t9zNBcwaFtuK4B9xi5r5OvBYeUo5wWxXbJaGxTZLNdtiTrne8rA0LLYFndihyjn1esvjwjDZjvSzGrvdIaoJfdxT+4p17ZlvPd20wuxalJ2yVy3TvWE3k5S7FlFOGfSOau/QsmGoDb3qMV3HZFSEcpLt3lKPaQemg0SYkr42tJUj+RHT9dSdonKa0ivqEaoeqiGgBod0A9GPjGSLRF9IkjFIYSm8RA+RFB1eHXRcXMLjEVIfplmzhERKCSFFlh6WB8mBQ4/zyUc0KpkNQYzC9oG2kUxaS5d2tEdTzvZTzl/t+MO/+dd/8ODzQxAfAfr7YnCOy8s9/ckZN8uAWa8OeuaRapAMhTiMr4OIWb/5IEaRRaUOSnJORlQ86H+HmHVTkkdHgTOA80hhcEbghEe6PJBUxMxgcYWlszBohxcj0fd5CrJ3FL2n6iN1J2k6aLqI6Ua87+gLR1dbhK6Z9grb9gz0tBNI5YTpqLC7nlb1tE2BkRPqnWeIe3xdM9m0rGeCaVuyjy2pzkC+mWkWG8G6HKiYEsYtsZ5Qbvbs5pbZ2rOawexxYFxMSW7F1E94nCVmjz1+PsW5NdO+5mEBzeMW1UzZqx1Hm4L1kUVvHmjSlPuTir1a09xtWfZzxqOGu0lEr+9YrA1lMeP62DL6O+b3A1O/YHtS81D3FJs7lmvLol8ykXPMrKY/qbk6nXB5VPHQOHZ6g3NXFI83TO62LO4di4eCo/2SWTyiKhvEsqKsa2ZiybI7YvlYMr8PzO5aqscb0nDNVqx4nAxcLyyvTifszmrUoqKxc2bjMUfrisndiq3ecn9S0Yg5i/tI6u+4WRjEvGGxrqgeH1gVA7vjimmYM78f6P091yclRTmnfthyv5DM+gnePTAspiwePY+VpxYL1H7F9qhg+ahY2Z7SztDrNetjy2KlWJc987Zg1Xjma087LSg3W6jmjH5H7WvWjWO2cbTzCr3fY1XD3vQsNtDNDGrXMR0srqzZlyO0HfNdQpiGrtK0ske1HbMOlJ4w1AVd4QiuxbY9k15iVYlUBVpYlLAU0VI6TT1KbJ/Qg0P4gRBHehUYrCRag8JSeFAu5EzeCmzMxi5B6jz2r0AIDcmTyO5cTxPZWcUya2ykQzOVGEAZiANRW2TXsp9aFm0J+zteH428e1HzqXe/58OGpB90fEGALoT4XwghvlMI8d1CiP/rD/C4nyqECEKIn/9Dd4gfXPy//5Nfi3i85OwmYsoFj5NAs/O4yqLGkaAEygf8YaABxEF+NhsnZIlwDSkc1BRB+1wbjCGgMHgdsB6EMJnX6/qcmYfc+BxtwVAkRukJcUCOY2489VA5Qe00RSwwKJQssKlm2uXmlfM9bekZmzKDepdBvRUtba2QpmbWRmTbsi9HhrpkMlrMrmM91yx3lk7uoJpTb3bs5obFRrC1PYWcEbsdbjqhWrc8LgzLrWRdd0z8lDZtmHcN90vB9H5PmC3ow5p5O+H+SNI8bpHNnB0bjtYFj0cldvVAqefcl47lQ8AtJ9w3I3Z1y8mqRE4mXB4bwnDL8j4wFUvuz2q2esf07pHlbkpcNtzOQeyuObqVTMUCuazZPKt5dTrl9VKzmgzs1D2xv6J6vGZ+s2N5Hzh+qDjujpiJBbapGU9rbs6mvDyteX02oz2p0dOaiZxz1B9xvKo4uoPZbcvk4Qb2V+zlPZtyz81C8fJswup8QjqqqIsFy3VJsbrhvhnZn05YuCWLu44u3XJ9UlEVC47uNGp3w9U84ZcTlvspk/tHNnbH+qThaF2wYwOTGbP7lrslLMYpYXxgWDYs7h13jWci5qj9A9tlzdFj4L4aacQM0a4Q5ZI+7JiEKavJyNFasFto6s2eMJnj3IZpmGVgX4/0i4a032DUlFU9MF17KCfsZjC4junOU8gJrinZlz2y65jvE0pMGJuCtvQ431HuB2adRKkaV5YMVYErSmJREU2BUFW2lYuGygnKPiLcQIg9vfYMVhCtRWOpBhB+ZNSZGaYPE8wmgU8jUqgsWmbBeJXNWtJBYTMJRIo8SUZmxVFFwmGSJTKgdYXe7XhYaBp1zPMrwbd83dd9yIj0g49/IKALIRTwXwA/F/gq4BcKIb7q7/O43wr8iR/qg/wgYrPbcYnh9vmUlV4xf3CEqib6NlMLU97ipZj1RUUePM4uOy4SlECGPLFGCJl/m/LUqFOBwoG3mpQcOsBYAG44lFk06BJXaAYbGBkRvsP0jrpNVKPGRo2mBFMTrCUVFb6oGOsSrWpmvaTY9sSxZV85+qZEqZrpPqH6jtb0dHWFUTNm24Af9uwmgVRPOdomdnqPKBcUqy3bpWGxFayLjkLPkO2GbtGweOx4nEWOd5ad3lHoOXG/YZxNqR63iMmCLj1ytK25O5Y0D1vEZM6ONUebgruTgnq9oiyXPBQtp/eCzWmN6m6ZuwXXS4XaX3N8oymLI67OK7p4x+Jmz3Jcsj1tuG96ytU1R6sSPZvz+rTAuSuObj2ztGD1rOHVacP1TLCq1nThGrV5zfTmnsVVx/GN5ng9YzGcMLFzWE7YPpvw8tmc10eG+2nPVj/wWO+4OlK8PG94fD4lHk2oygXzcMTJZsHRXcHiZmB284DeXNO7SzZ2xfXU8+q04uZ8ysQsOb6VyP0VV4sM2Me7KZPbFSu75vZZw1QsWN46Yn/N1YlFT+acPFbY1RXXU0dVLmkeVzycaJa7ms4/4mcLZvcd10vBcpwTh3va44aj+5G7aWASF4jugd3xlMV9z/bI0Kz3jNMZcb+iUDNWds9ya9gsNZN1yziZMI7r3M+YeBYrzzifELsd09Swbwwde5rtSOVLhrpkWznoW2a7gBUT/KRiW3m87yh2I9PeIHWDqyt2VaKzga6MdGWiqwV9pXFlCbpAi5IqGpoeTO/ADXTS0xUQbYHGUvcCnwa8MZgRnIwIYeCNdEXEi4ROAi8dKtMReLIIEWQwz/IbmU1sfaI1UHSCnRkp1YTJ/Y5788inXyj+xt/8ix8yMv3g4gvJ0P8J4LtTSp9KKY3A7wd+3ud53L8D/AHg5ofw+D6w+O9+869m/vqes3XJsJji4p7GWXodsvlu8nCwL0tJHBxc8sCDJivW6ZCyj6MLRCOynKzURAI6ZK0M2XuktAwqYceAjQZUQV8KehvwsUd3PVULk9FglEXqmmQrXF3QlZKukuyqRFtmlkrflAgzZTZqqu2I6/fsq4GhqTCyYb4F2e3Zlz3ttKRkwmw7MviW7UyibQby9ZFhsVVs7A5TLDGbNdtFxeIh8DgbmfoZfdqQJkcUqy2bZcnR48jDPHKysdyeapq7DWK6YMcjJ5uS+xNLfb/C1Ees1ZqTB8vDaYld3VHrI24bx9FNoDudMYQ7lteemTzi5lnNRj4yu11zsl8wnE65nnv05oqT24KiPuLyvKKLNyyuO46GJduzGTfTyEbeELuX1HfXLK+2nFwlTu9LTttj5vKIYjajfzbh8mLGe2cVl/PE2j4wuNeY9RXTm1uKx0vc8JqNeeBm6nh5ann5fMru2RS1mDLXC066Y84eGk6vEourHc3tLexf03LJ3WTP/XnDnCOOrgOxveLyRMNixumqobm55b7as34248gdsbju6eI1l89KivqIkxuD3F3xcFpx8liwERvkZMHsfsv1ieCkm+KGO/qjGcvbgdtZZOqXpO6W7mTK0d3I3SwwcwtWds/RVvOwiCwfHPvlBLPZoKs527hhua94mCdmDwPjcorv10zjlPupY/EwMs6n7ExLudkzGy1hMmHTBEK/Y7p1lDSMk4pN43BjS7XtmfUKWUzoDsDvYkcIO3xoGRkYxEBnRjob6GuBqwzpAOwTZyj7iHIDDkdfJEJhkcmges+oA1pkeQKvFYWPjDqhgsbLgEQhCKQDIwZpSDEL1z1p8YskCEJm6QCjKJzLtN1dYFW2+MURz7Yz/trv/n0fNjT9oOILAfQXwHvv+/fLw8/ehBDiBfAvAT+gSZ8Q4t8UQnybEOLbbm9/+HSRL2+ueO+45vWZIPV3zNuCbQN2iIwHJbsnDYmUQB08yWTMLisygpMJncBpgY4wSoH1HmcEwo0gFF4OFCnLueIGbMjd/L6W9NLn8kvnabzEyuxMPxYFXS3YlZG9GejVwEiPDx3Bdzi3Z18M7GaaUEyZ+Ir51kO7Z1d27CcVRk+Y74B2x64Y6Gc1TWho1gNd3LNdFJxsNVu9x5TLDO7LgqMVrJqeWs4ImxXDYs78Yc/9QnGy1qyqjklaMPoVujliFx852TZcnhmmt1vS7Ihtuud0U3N7ZmnuV5h6yUOx4/Te8HjWoNe3TNOCq5nPmXhYcn8xYV2smdw+cLqe4o5nvF4K1PaS0ytFUxxxedGw44bl5YaTdsH+fMbl0qPWr1hePXL6OnB6U3K6PWKejiknS4bzKdfP57x7UfN6AQ/1ii68Qq5fMru+5eiy5fRScv4w5ezGcvy6Z355j3l4yehesS4euFxE3jsvef18RvtshpktWMhjTvcnnN1WnL8KzF9vKe+vuK123D+fsQxLjq9HxuGSV2cFerbg7KGieLjiZtqzPZtz0i9ZXG7ZcsvVRc3EHnN2mbgrtuhmQf2w5vrMcLRtGPwdw3LJ8qbjehmZuzmpu6U9mXByHbideGZxAe0t3fGUYrUmTo4Z3YpZmvLQ9BytJI9Lw2S9ZpwuGPyauZtwN/cc3Tva5QR2ayZpyn0zYnZ7Fm1BrGasmogftsw2njJN6aYVq3ok9numm4GJq4j1jM1Usi06Yr+j3A7Uu0TZOmzbobvc4Pe+Z8DRWk9bS1xlCbrERkPdCVQ/4FJHbxOpsJRJZiNuYyldxFvQ0RDIZZcUHEFbpHN5GMkF4kEJNMnsr5e9Rg4S0iESlcKngJQWfMs4bThegeuu+ezRwJ/5lm/6sKDpBx1fiKfo9zfFed8Q5CF+G/C1KaXw1E3+fJFS+l3A7wL46q/+6h82Sjh/5D/8DZxTsFsseJivOdq0pGVF7AZSqWDMVMTs0gKChJOJEkOfHCU6q9BhiIwoLL30lNGwV1B24AqJHAagYFSJag9R56GLkEb0MFJ4sia3srhCM6pIEI4QIySP8BHjsk+kjNmxhhTpqkBXBsKsoOobbKeYb1u2cc+uikRTMdnMOdpuWKUtmyYCNdONgPWO7QImzZL64Zr75XOOXxteT7bMy2PMwx2b4+ec3m65f6vj+XrGe3FFmiwpVrfsjp9xdLvi+rlkeb0lHH2Mwd3yop3y8uOS5dWOOH/BNt7z8U3N9cct9e01pj7ndbHh4pVi9WKG2L3kZDji/vmch2pDc3PH+WrGeLrg9VFCbl5yeq1oyiNeX9RsuWV5uea0PWJ3Pudq4SkeXnF6a6niDKkNaWboKs2mtAxFZFQjY1qhxy22G6m6iB2gHAvKUGOURRQSX1gK55n0Hr/y9Jue3vYMZc9YPTCUlraoWdcTymmF8YppN9IMFdXeMdl5xl3P7XjN7VkiPV9wfCnh6oH7Z6947/w5L8QRFzePXMVLrk7PORcLTq8F6fKB1QWkF6c8f5mY3N5ydf42Z59q+OzilnB8zPH1e1y+5fn4Zslmd8Pu/IKzqx1XXz7wZY8LHjY3bE5fcHa15frLRl58SnP3TmL5emC7PEavX6PLMzZiw9v7CXdvR45e97TLC9jdU4sZl03P0SvP/ugY2jsWe02opmymnjjuWKw9Vk3pmpJd2SP2LfNtwsgJblqxrzxDGDBtz7QTaFFkG8WQSDEhU8S7QCDgzYjTmlFJnLZYrdCuwgwjE+fpk2O0HZ0tqb1FDgNjaai8ZgwjqALV7wnWHEqbCd1JfCWxvcRZifYx76JdAMzBIu+Jp65IacBGS6cjjStww4rVScMsTPh7/58/z8/8Z34ePxC2/XCJLwTQXwJvv+/fbwGvv89jvhr4/Yc3fAL8C0IIn1L6ph+Kg/xixnd+z9/h0y8qivWG40ePO6kY5RYbp0CHwGSVxCRBBJIUiIPZQEKRQiDqAjnuiaZE9x5vKtTQkVRBigOKkk55qkHiSgVji5YFbZmIsacYPKXXJFXgrcx6GAyI6BE+UPqU1eiEIJFd54UQCJWtzoptRzt2dKXDVyWVKan2msV2z9Z1tE0iziummzmL7Y512LKeJuKsYbaFtN5yf1xz+mrCy+kji/mS6eP14WcFL6cb3iqOkNsH9stnLG9ec/d8ytm7BS/f3vGOPOZhvOfZuODdC8fpuz37kxeE7prlMOe9i8DJyz3u6C16f8c72wmvP2Fpbq4xkwte2zVvvdI8Pp9xX6yYXT9yulnQny24XAbM+hWnN4aqOeLVeU0brzi67DgZjtk8n3M96ahurzm/r9DTBbtpya5QjCYyyp4YN6hhj+k8TR+pek3pCmwq0VqRKk1fWx6rgm1RsNeaMnhmo2PSDTTtyKRzhE3ArQcG3bMvHxirFa4y9EXJejmhiAWFb6gHz3Q3crHS3KRb7k8D8a0FZ5cC9fqBu2cvee/8BW+JJRcPkut4xfXpOVEtOLsE9eqBh4vI5VtnnH265bPzO8azY04uX/HqHc+X7U7YrK5Zn7/F+es9rz/R8mXFMeXdLbfP3uL81Y7X72z5eHmCfbwjLM4Z+3vOxIL36j3P37XcvyVY3u4Zlxf49o6JWPDepOP8Pc/6vEavrjDmmJuy49mrRGoWrGaO2G9ZbiJaz9lNLXvVYrYti04h7JR9ZeiKntR3TDpP5Q3CNgyFydoriUwlTAkVEioFrHOk0TOqgNMdo9U4YwhKYweF9RLVO9qiYyxqil7RxoGgLHYcGa3F9ppeJ2qnaKWjEZq9dDQonIroMUso60HgrUAIj4giu0WReevKCzqrmHae9VQwH2rK1T03E8cf/sbfwc/7Bb/kQ8WqLyS+EED/q8BXCiE+AbwCfgHwv3n/A1JKn3j6XgjxXwF/5EcCmAN862/7ep5XDavlEauwYtJVbEpJ6RN5NEgdRolTLrEIjUoa4SLRKqwb8TZhBhgs2FHSF4miE/R1zs4HKzB9QKqCIEdKp7Mpgu+phohOh6k6CwMOERzGBQonMUmRpCIpjXhSqhNPLkTZyrEeFtR9S7kd2Ls9u9rjZiUTM2O+77Bhz2biiPMJEz1lud+xSXu2s0SiYbEOXHYruuUJRzdX3LxwXLye8mp4wC9OmN9fcndSc/rS8urtLW9vjti0j7ijU6b3r7g/fc756xWrizPM6iUTfcKnJx3PPy1YP58jVu8xTyd86njg7FMD+7MX+P6ai3bO609IFpcr5Pw598WKxeUjJ90Ru2dzrmcdxd01zx5q5HzBuycGN7zH2ZVnzjG3b09ZFRsm1/ecriek4yXfebbg0RTshaEVhg5DHzW9NQy1xgWND4rgJcELkhfgE2JMMH7+cyRpYCmzL4OOKB3ROmBVwEhPqRyl8FTCUeNoGsdsNvLx0nB+rZBhxcMzj3/rlGeXMoP62Xu8d/acC7Pk2a3kNt1wc7JkfGvB6aVEvnzk4cUlzdkp569ec/WJno9vT9jeX3Nz/hbn7+14+fFH3pmeML15xeWzj3H66Yp3J3fMpqdMb15xdfGCs09bLt8ZOXsv8vC8orl/TVg8Z+jvOIlzXk47zt+Fh4uK+v4SWZ+xExsutgWPLxTThztEfcbjbIR2w9FOIu2C9VzRhy31emDiDKGc0U4ifdxjth3TXiLVFN9Yuirh6A7Grwmh1cFxS6GiQkaNcYnSO8zoCS4ymI7RSnxZUXiDGSVNN9DVA9oYin5gqAR1Z9mnEaMtjB3RVKi+JdoKOQ5EXZLCgBCamBxaSJzImklKHEgNBJKMeUiwUBBHhC2x9y23S4Gpznjv2z+L//kBrdUHB07/EPEPBPSUkhdC/FIye0UBvyel9D8JIf6tw+9/wLr5D+f4K3/l/8tnLhKzh3vmqwX3kwrWPWki0QN5uvMg4UlUpJi3bUVQmBAYSrBO0Ys8aDMGD9IigsvGC8FRJsugPfUg6ZqE6T2YEi9H6i6iRImzit4EUhgpRp/FiYTNnHSdee9Bx2xVFg6ok8LBskswNpaqqin3JfOuw44D+8bxWJbUuqLaa47XOzaTNeumYaJmLHYdm4c9m3kiHU05ub3n6mLLW8Ux+9Utm7MLzi57rt/ueHu/5LJ/wB+dML+95P70nPNXicu397zYLHjlH1g2p1zKe955KLn6RMHs+iVq9pwHfc87DxVX71Q01y+pq3M+W224+Kxg/WIOq/c4dkd85lnk6PWGI3/C3dtTVmbN9GrF8WaGO51xuQC1fcnFjaIqz/jsxRHf3Sx4xSe5O5/QTgriPiEu/z6LfTDKUTqhVKRSDltGSp2oLEytYlEbjicVR5OKTddzv+15bAe2Q6QdE50XjEHgvMT1iiFooi/fDK9830iAeCapJiPLcsdzteHL9YYvv1ZcXK25GV/y3tE5Z/aYZ1cK7R5ZnY+Et895dqmx791x+c6ej7dnNDeXXF58jIvPNLw7uWVyfMLx5SUvX0z42LtL3u2v6M/POXv9msuPe9757BHv7q/pTy/Qq9fI5oy9f+DtYcZ7Jz3n7yYen9U0d5eI2Rn78MDb3YTLF4Hl657+6Jyxu+NimHF14dHrLYu9IdZzVlOHG9fMt54i1QzTil3pSEPLdO+pfEkoa3YNDGKAYaToPYrsYxplIkpJlAKvFCjFoBU6afRYYHyW5A3eMxQtnSrxpaLqS4puoKuhcZbBd3hbUQw9Qw1lJxhNovCaXoF1gqEC06Usz+EcyAKnEnJMCNTBbDubdpPyzwID1pd0eo0xM5Y3HS0bvvF3/Hv8on/nN30RkOiHLkRKH04p+6u/+qvTt33bt30or/0U3/Arfhn7acV91bK8axnmU+y2ZTcpmPXgcIyFxHiL8Y5RBHyhs6GEC7Ql1F7j44DQJYwDviqww8BQWkw/EE2Jcj3oApcGKqdpK4VtB5SuGIqIw6EHj3UCIy1JakYj8Dpl7X1w6AAARFBJREFUy7QUECGgXEIdzJTVYdlkgtZExlIjTUXpNFUXoN+zKwNDU2BkwbRVyG7H1jr6WUGdGiZrhwsb7o8sJ/2csb2mfXbC+auOVyeOs/6I1r0mHJ0zf7ni8q2Ct240V7MtR/GUrnuNX14wu7zn9p05J5+5x50/Z+0v+dh6wWc+pjj99D3p5BkPXPGx+wmffbti8fqKsnnBq/qBd17C7ceP4eElz8YTLp/XdP6Ko2vHkVtw/3zJd80XfFbOuXFTtvsKvxOI8LnzVpaJSe14MY38pLeP+eTFKc/nC541E55NChaVxeov3gydD5Ft77jej7ze7bncrPie23v++mdueHeV2HQW377P8FuCbASTpufE7nibNV+xXfHi8pGdf+D2AmR1wfObyHa8ZH3xjI+9N/Decs3MvKC8vOLqnYp3bgqu7A1q9jaL9255+THLO/cNd/ISjt7m6DN3vPeO4WMv4fXbltOXa/bPTmF9SWMvuNF3vLWqeXmhOHu5oTs/ZdhfcRxOeD0fuLgcWD87Ju2vWLY1/WzCtuiRXctiD9gZu5mkp6PYdUx7jbA1XVnQ2YHoWoo20DiFUPZgPweCQIzZg9QJT5ACpxNBZ4loLRTWC8wYiaFnUImxUChtKXcRJ0ewBXpw9AU0g2JnPE2wdKKnxNKLkSKUDNpROslQCszgiLrEJ4fxIWvAG5kB3CW0LGltwnYDWjXs1J7ZOGHPCnc0YT7U/OJf8xupyuKLdi59ISGE+Gsppa/+vL/7UgX0b/7jv58//xe/maM1uOkRHWvqMMGFHWNVMOlFHnCwCiVN1hXH4WUi6QLrE5ERb0ts53CVxPaCzgaqYOjkSJUKOjFQOUNfBIoh4QubNS+w7EqQYcR2EaMMQRmczfzaFB3SZZDXMSGERonsJhplHmhCZBs6NYykMLIrQta3NiX1YCnbjjF07BpBqCqasaTad4wxT39qO2G2kYj+geuzmhfrgnt1j2qeMbu+5+pFyYtbzVWzYc4pYXtFe37Kyas1r58VvPVguJxsOA4n7N0lM3HB6/mKt99L3Hz8CHPzkrm64NVyy8fejdy9c0R6eMWpP+Pd85GLz7QMz8/ZjK948Tjj733ZC767XHLpZ6y6hmGnEUN8s2ZCQ9V4TmvHj3vW8M991Vfwz33FOywq+6GdR19odKPnWz/zmm/+O9/F33z1yNVOsW8tcfjcY5IWmElkVrec2y2f8Gv+8c9ccquv4egFJ5955L23E8/3R/TtS9YXz3j73Zb3TluOeAZ3r7l/54R33vW8u9xyJM9J968Zzi9I60sa+4w79cDFpuHleeD5y571iwXq/pq6vODGPPLi3nL1wjJ7/Qjzc9Y8cLE2rI8aWrmj2vRMx4px2rCtB1LXMtkFLDXjpKItAsF32HZkOiqkygNFnQ1ZwI48ki+CQKWECPmL4EE4nITRQlQ6T5R6gRo9MQ70NiFMRdVF9tZTxGyi4osC248MpaXoHUNpKPuRoSrQbY8wJS712GDoq4QeAjoqktaMyufrLEmSNIwmIYeBIpVs6shiHXg4VpxuS2gfmJxM+dd/w3/2oZ1H8BGgf79IKfE7v/ZrWc8Ee7/ieKt5nAnmraQTHbEsKJxC+IFRJaJRGK9RPuJFwOuEUIaiD3QHE4iQHMlY1DDii+wCNJSaosv81nxiZeOBOljaQqCGnjJIki4YjMQpR/KOwmXdF4lByKeySyIKsma68IQnnJMJLUqKQVD2jug7tkXA1QVGlTSdRLcdnezYTyzaVEx3CtVuWDUe30yYDxVpe8P6fMmzm8DVtGXBMWFzxf7ZMaevOi7P4Xzb8KjuqIpnqIcrNi+OOH235fWF4u07ybvP4OKzLe2LM7r9a553R3zmInHx2Q3Ds2dshpe8vV3wmbcMx+/dIRZv8ZefPec7xjPWDw08gbcA20QW1ciXHWv+qU++zc/9sZ/kE8vmRwTT4AcT19ueP/ldn+LP/N1P8503Hfetod/rN2WcpAWTo4Evr+/4msdLpq8+y+XHKt6+K3kQ16TjF5x89pF334bn6yU7/5rh9AXnn33ks2/DW6s51+U9F5spr04cF5cjdy8WNNc3sDhn52847Ze8Xg5cvHZsXsxgfctUnHI92fPsOrK+mDEOa+abiNYT9jNDl/YUu4HpaEjFhP3EMySHaXsmvULpmrHUdGXEhzzxLAOgJElkQwqhJAmFEgodJTrkEX+CJ+AZdSIWOmu6OIEcRnrtkaZGDwN9IakGSacHCgpccGhtCH5EqYJBjNTB0JuIHSNBZ+66jRKnJF5nh7HCBVQyeKMZtccMHpss+1pS7vbEZo5Zr3g4LSnklF/6S34dy9nsQztnPgL07xP//e/9bfydv/03WPQNq5MSu9oxTiuqvaeXjlgUFF6Cd0Q8o5HZjzNIVIh44fFKYjHEMOILSdULOh2w2OzYogpi7LO5bnRYWdLLkWqUdJVG9x02FvhSM0gPYaQYIgaFEObgdg9OBVIMiBgQEVTwyJBd0mXKE299kfBlgRCWZtSYfgTfsS0DY11QUlLvySWXOjA0FY2vqHYDPdvMQ+9m9MMN/ekpJ6/2XJ1HTvdTNvEGMX3G7PqB6xc1L67gct5yEo7YuivE9ILm+oaHt4+Zv7yB5XMeueatxwnvvV1w9N4tYnnBg7rhrZuS7/nyj/FXi2e83B4zPh7GsBUsFwM//eM1/9o/+ZP4KS9O0epLV2YopcTfvd3w3/61/x9/8jtuuV5VpEPrRM4Ez+aP/MR0zf/s0+9xWT5QNM9pLm+5ervkY7clN/oGM33B9PUtlx+rePEycP2iZPl6xXB2it9dMeOMm3rN8zvD5UXB0eUj7vicdrjhZJxzeew5v+xpT4/ou1uOWotvpmxrR+q3TLcCbSa0k6zlYroDPVFW9FXJ3o7EOGA6R+MEkoKkZNY7IkLMKojx4NTljAQlQBYYr7ABpHOENDKoRCg1JpXYfqA3EZMKku/wRUkxeMZSUHSCrgoUvWQowA6JsdDocUQrQ0+gcIlkNE6Qm6QhYVK2dHRGEKNDuyyx25ea6PY0sWZtWybiiPpxgy0T/8bXfXitw48A/X2RUuLrf8Ov5bF26M2Kmhl72aJ0RdkN9DLiC40JGh2ySbMTnqASSZpsk+UiicBos0FzSgFvLHZwDKWi7KC3kdJJOhtyQ7SCog/EoiSMHUUy7EuJiFllUSdFNBanYVQBERzS50xdxYQUGpkUUUqkkG/KLoLsEYpvaW2gqzTK1JSjzhZvoWVTRlxdMYkl5dbj/ZbNVCHKhvleofZrrs8s55vM72Z2xuxyxeWF4eKx5N4+UNsz9OMNq4sFZ68GLp/BxarmtrhnJs8Zu9fU9jk35R1vXVsu357SXF1R1i/4S89f8B3+jMeHBvp8vpkm8onlwC/8Jz7JL/rJPx77w5w98GFGjIk/+V2f4Xd969/gO24V7UZnRywjmB4NfEV5y9fcv6a+epfrd+Z87BIum0dq+5zy5prtxQnq4Rpbn7PhjpNuxuXScXE18vh8jr29wzRnrMQDz7Y1V+eCo9cb/PKUXbzldDdlfWTo455m11OHCUNTsStG5LBnsgMjS4aqpC1HouspO0ftNOiasdD0NiJSeKNEKkjoKBABVIik5EkEnMjT1t5IlCiyMNcYiHFgsICuqHrH3ibKYEipJ6oK3EgsDWoYCdYixwGpbE6mMAwmoMeIkPqNH4GICZMUQSmCPlhjeIeKYJJhLDRj6pj0mt1ccXTnuZ0P0Mz4lb/4N7GYfjhZ+keA/r74Y3/w9/Ad3/rnsHbB3dyzXDk2FZSpQI+eUXiclgipURF0BEIgEQgy81alVJggCNERjKTwihGXJ83CQCgNpnM4aylGz1BpVD8gdYWPPYU3tFWi6AMmKbzRuXaeRpTz2FGiUXBwKwoy29N5GYkCRHq6ABQQEdpSBE3RgnI9o+jZNYpkCxpXULSOGPdsK0GoK6Z9QbHvaeWO3ayiThMmd49cnVsuNiUrdY+qz2lu77l9XnFxLbme7pmnY8L+muH0lMWrNVdvFby4llzOW866BZfTDW+9Vnz2yz/Gt1XPeHd7zPAo32Th8/nA17xd8iv+2a/hx50dfeBr/6MlrrYtX/9n/zLf/J333K4qksuMGj2Hi9kjPylc8xM+9R7vzTYs5TntcMlMnHJbbLhYl1yew9mrPdvzI8Tmmlo/49Y+8vzBcH1hmd6sYHrKhkeebStuzzRqs2beKkI1ZTtN+HHHdBuxlLgDuKexo9p7qlgSbEVfwqBHcCO280iRyy1RJILSCJmySikGLVQuuXjQwRFSYJTxkLnnWrp1kV44kjXZHLuEalT0asAmS4gOqXL50yTDoCKFk4xFvilIqRl1QLmIjgohyNe0FkQcymdPUh0NQkkGI/DR0YwJV5fQbgjzOcsHKEvH/+E3//YPZf0/AvT3xdf/2l/NzbRnft/hpzP0bsd+oil9VnDzOJLMDuUoiUQifUKmREopS3QqSVAKGxQ+jiSjsWOiNwEbDFGMWdM8jAhlIQ1IUTAwUHlFVwpM75C6pDO5MapdzCUdaQlG4JXAiUDCQUgYF5Exl1kUAqIEmR2SQhzpykQoCrTMnqGm63Ex+yfGoqTylnrvcaFlM0nIomHaGmS7YVMHVHnK5PaO6/OCZ+uCtX5E12dUt/fcP5/w7DpyNes5CQva4YYwO2d6e8/dRcPFleevfPLH8O3+GfePE+jyOaXrxMeWHb/gp3wF/9uf+hMozRcy9vBR/GAixsQf/jvfze/583+T77y39Fv1JnufHff82OKGn/mZT3E53fD8TnH1rOD49Zru7Bi/u2YmT7mttlzcKW4uCqbXa5idsOaBZ9uG6zPJ9HaN1XN2E8mQOuptRx2n9I2lLUdS1zNpA5YKX5W0ZcLHAdX3NAMoCqK1JJEQMY/dy5SyN2jKu10vwWtB1BKEwUSZp6L9iCMwFIC2lL3AMYAtMG92xFkHqQqKXgVKJ+gt2DHiCoV0Hpk0owUz5u9R2XQmkTN1kQQixqyamjRogVfZZq8aPMJM2KmOo6FiJ1aMywVf+8v/ow+F8fIRoB/iz/7pP8Rf+qPfhKlP2LBmGmpS2NNVGuMtKkREDETiG1/nCCAVKSWklKggECEQZCQYhfE5U4/aUrhIZxJlkHgcRlhGRkzSjDpSjJK+TBRDIKmSQYwHx3RNNDbbcAkPwWFcQseERGdJXiEJWr6vMfo5/QUbNHbw4AZ6NdJVCmyVpXa7QAgtbRlwdUXjst2cSy2bqUbrivkWNuIROTtjdr3m6lxzvi5Zy3t0fU59d8/d84Zn14nrWc+RW7AL18TFV/AnZ5/gvZujXEqRMJuPfPULzS/7Z76Gn/j89ANd348CXq73/Gd/+n/kz3zPhrt1CS43Vk/Pt/xM/1lefPY7GE9Ocfsb5pxwW+94di+5fVbQHDLzLfecbSdcn8HyakuYn7C1LcWmZzpa3KRmVzri0DLbgxYFY1WyLz1p6Ki6kMshpmCoFIPyb+YnxGFMD9RhbE/mkmKQKB9JyZGSx6mU1UmloQoCNYZcTy8VpdM4BpKu0WOXZQD6RFckqkHQF5miGEyJiD06anqb2TJKarxMxAQqhmwoffD9lSKL7UUJSQlCiojgM01ZFeyKyGI7cH9UcvoomC01/7tf/59+4Gv8EaAf4r/41b+Cm0Xg+CHwOFfM9oJBtHhjEMKgQ0LErJOS3asSQgR8OmwNBSSRt2oqCYQPjEZigiAmT9CGcgwMFoqg6KXHBoPTuYwylAk7BKKxxDhQBo03ikEB0WFcRAeBlIaoJU4KnIrkJpI/jEsHVBSQPnciDjYQrEVLSzlqbD/iU09rI67MTdFqH5Hjjk2Vt4+1qyj3PQN7touKk25CP94wHh1xdNVxdRI56yZs4h2iOWN698jNRcXFreTPfflX8tfbt+nvcjbYLBz/qx874Tf8Cz+T2n6Uhf9wCR8iv/Mv/DV+9195l4f7EhKoOfy4xWt+9nvfw13xwLNHy80zy+JqhVuc0vs7luOU62Xk9LqjXy4Z3B2LvSHUE3aVJ4wts21C6ZphYtnrEd211J3AyIqxsnTaEfDobqB0oIQFIQ4ZuUCISEiBKCVORKLJA0YChY0K7bL1XEgh0xiNpQgCMTiGQlAETUwDURUIPxILix5GvLWo0RG1QYQRjWHQET16hLaMIiJDwMRM+01AUhIvQIh08KvJxjXiYEojY7aE7IqE6TpUscD3D8SjJb/mV/1WzAfc//kI0IG//jf+PH/8G383pTpm9CtSNcG2niAdgwYhD9ZxedPF0+ciYlZTFimzTAC8iCQFSIMZAqOJGAwh5BPJ+izOX/aCoUwUw9MWMOAKi3IDGktvA2L02CBQwhKMxBkIyYMPaB/RASQ6H5WUJKGIGhAHaQIhcjlmHPE49ofSi8XS9NkLslM9XW3RumLSCkTXsi08blLSjBXVruNuOjDniLS9YXO65Px65HrhWIQpY3/P7vQr+VPNx7m8WcCQEBY+ebbnP/h5/xQ/9e2LD2wdP4p/uHj3ccuv+YPfzLe9MvhWkpRgedbyM8Rn+cpP/V32x0ek9pppOuFu2nJ6E1g/m6HWd9QcsZ4E4rBn3iaEntLWgkGMFG1HM2iSrekaQc+AHkfqPqFSAUVBVyRG5RFekEQeNxeAiBITBcKDip6Y8hCdU+BMLj/qKLMcdfQ46QlFSdlHOhMpYh7nT8oi/EC0BXIcQFmIDiUUo0wYB8FoIiPWKaLIu5ZIAhGJMRtLi5QO8rOCFJ/00xMSBVIyFApcz9RZHqaJ0wfB8SeO+YW/7Dd+oGv5EaADv/P/8su5OoLZyrEpIyUlegx44YBE5GD2fPCWFQfb8MQhG1aRmCQKUFEgIgQZiUpmsX2RMwDlOpwtKMbIYMWBOpXNbn2hEeOAkpZBekonEMridMRJjxx97uqjkVLhjCJIcCIAIZtrpISKQIiHky8xGkmyBWXUFINAjD0OR1dDtCX1WFB1I2Ns2dYCUTRMe43uWjZmxE0rjjearVwh6jMmdw/cnhWcry1/5hOf5Nu3L3APOZuZLwf+lX/8mK/92T/jA89MPop/9Egp8fv+yrfzn//5v8fNfQ0R5FTwlUfX/JzL72EjrjndltyeGqa3j4jpCRtWLHeAnrCbgA8d9d5hY4mrK/rCEcaepvOYVIAp6ctELx1yHLB9okqaICQQSCISkyBICCJPiAqlEEIf+OgJeSi/jDJmb15lsY5ME7aSyilG4dAYQhpJqgA/IpUmpYBMilEEiqBwBUgfUEHiC0EMHnmoWYqUQTtrQ6QspyEE8o0WIyDSYXo7kLynGSRjXeLHDbY85lf93/4jpPzg5iO+5AH9733Pd/D7/8uvYxaWDHFHXykKb9E+QoxEkYCEEJBShvK8xIL0VKkW5No6AiEALVBBQRjxVqG9JBJIRqHHgDMCOyaGQlIN0FuBdo6kc7PUJMNQQAoe4wImaYLWOC0I0pNCxLgsGKQO83VCKpJQBCU+p/0pwIyQ/IDH0ZeCYA1lKii6hBwHWtMz1CVGltR7gXRbtkXE1xWToaDY77mbBmZpQdzfcfvik/wZ8wlubqYIl5Bl4h877/gt//LP4sefn3wga/ZRfPHjZtfytX/wm/kL70rGnSRJmJ0O/DTzWX7Cd30H2/MZafPAJC0OzJY9s11EmYa2VgxixLQ9zSgO/qKSXo6ocaTsEyYZkrEMlcQJT8raXEghUTFrqKhAHjhKgZQCMUWcSgSrQBiKAHqMBOEZZQJbUPaOzkiKCD4FlDCE6BBKQ8xsFh89OiqcyTcHKQ/mFz6hUt4pJCEPnqPkr5i10g/tM3zK13p2ORJEESAGijGgZcO68Rw9ON7+yV/Fv/Sv/fIPbN2+5AH9G37lv831saVZ9ezLQNIG6zWEcMjEeUJwApIk4htwF9mAMP8fszm0OPhXBRlAa6SLBAkCBdGTdO7QjwUUfQZ1MyZ8oZBjh5QFvYjULoHWDEYCDjF4dAKVcjMoaHIWIxMRl8ekEQjvD1ouObt4U2PEYgeBHkYcA10pCGVJ5Q1VG/CxzSWZsmQyFuh9R6c7+lnF0bbhT73zlXzH6jl+nd/y8qjnf//Vz/ml//Q/ifoSHvT5Uohv+lt/l//4T/0tXt3X4EHUgk+c3PFz7j5F71+x3EG0U/ZNxPuWZp+wsmAoSzrrEGNL1YLBEmzBUCbG5FBupBzIwzsy73IRgZgOIl0CopZEKUlSY6LIdesxkoTHS4/TGqE0hYfgHcFqrBN4HFoYXHJIaSBkdyIYURgGIsZDKHO/SwVJMIpEyDXyp14ZB68D8bQrTzk3F/JgXJdIMnuTyhjRIaBTwVgaxrRjIpb8yt/0Wz+wKeYvaUB/dfOab/h//EbmfcNIy2gkQoJIChkPJZaY79I5g/AH+ohEECCKN80SISVBpGw0KyQqypyhG4UNEp8CGIUeI0MhsCM4m7CDwFmBGT3OGqR3KDS9TahhxKQ8HRq1YNQpZys+19ZlApUOnHQpM/NGQJLiwMDJio/K5cm8Xqes5yJMbpAOA46BfSUQtqIaNabr6WVH35RIfcEfnv0Ybq8miJBQdeKnXPR83c//OXx8+eGNN38UH05sOsev/aY/wbd8OtBvNEnA5HTknxffzeLuO5n3kmgb9nUuvZT7rCgabU1bBnwasJ2n9oIkK4LJQ0Uej0rxYKeez10dBeow8ax9IsVAFB4vEk4L0BoTdXYMC2MuzxiDHWOmCEedrSGVQXhH0rmWjrSkOGKEZtACOTqUMjgZkSEd/AQgpZyhP+VsiaeeWYCUa+yCmLNzUubRp0y5NCgQlt0kMr/v+HH/7M/k5/wvf9EHskZf0oD+u/7dX8LdoqLZ7GlNwEsDJJSQpAhCxOxeEvMdWB0WNkkJZDCPmdkLHLL0lE1nvYwIpbDuIKilFWaMjEZgRsmoAyZIvIzYCIMRWVPCWFLosVERjGFUAbzHuoRC5e2hFniZ6/SkPP6f1RYP29b0OSspL7NVXjIGEw1ln5De0cuBocoCSfWoUX3PIHu6xhKLt/jD1Y/h8aoC4PS445f89E/wr3/NT/5Rp5fyUfzDxbd816f49//YX+UztxPwUJ54frb5bp5dfQeTURNtSVsJXOwpu5HKG4KpGErBKD3CDdghUgVN0pq8t83Nx3j4j5SISuJkyBZxSqOjyuYXIRGTw6lItBodDNo5OgVlUjjhEFIjvCdZgxwGoinytKc0uOQxSeK0QMSACopgEykIEJnkkMutwIFMmQ4FFyE+V4LNk6yH3TGf668JJN4YOtmydHN++W/5ug9kXb5kAf1hveL//p//eo63mkHucVJlQBSJlHJDTyayz6CQJJWbozJFAgkpBCJEQOYx+5RLMUHk5RRSoVzCy4BQGv1EY3RZg6UIilEGNJpReAqvcTaix0g0Bp8GTBDoZAhGMqgE0aOdR0WBFAcOusz8WC8TSSTCofqRDtV+LQx2FGjnSbGjMwlXaLQsKQaFGnscA20tcM0n+B/sj2F9XSIEvDjd8/U//2fwk99+/kVdi4/iR268Xu/4N3/vH+VvX03AgT2K/Kzyu3nn9d+mdgXJlvRVYogjph+pPQhZ4WxuJHo80jnk4TqLgtyHkhKRFCoJVAR1cDIijlnfRUuSktig0C7hhcMZhQ2CGD3RaLTzOKMwY2K0AusOTdYQEULiRUR7QTCSlBwm8GRXcyiTAk8EiAiKQDhk7Bx2wUJIpEiIIN5QhSEnVkIrukJQbbb8tH/5X+F//tP/+S/6enzJAvrv+XW/hHvdoLstvYKnLFtnAc9sFCsVMY+vHSbGQIoswJ8OW0NBPgHT0505JVQ8NEHlwZMw+jxo5CCI3KjxKWcQKTq0LAhhwCRDbyN2TERl8NrnmngEnQzo3PT0IhKjhxiy8mIEdWiP5oK+hJR3EiKMRDx9IQnGYISh7AXC9Tgx0paSdvZl/DH1Y9heW4SEj53t+B2/4Gfx45+dfVHX4KP40RN3+5Z/47/+H/ibryckB2YZ+afrT/GVL/9WlrLVmd3icCjnKPuIFBap8mCPSIfa9GEqU8WnMkcgikAQMeusKA1SoZ1Ch0BMDi8gWYXyWSExWoMeIs6CHQWjCtiQm6DGkc3ZQ0AJhSegoyBJmXe8MV/HKsX8LSnXy0Uux8QDy0UcxO8SMRtLC3lI5AQyCGTMj/dG0BnP6c7wb//HX3xp3R8I0H/UToG0Xc9nGs3RumdQT60NkDHXosPBwk3EgAy5qx2VJBxcgCLkBkh6qp8Bh9JLSgmvPElIDILkPUErtOOQrSvS6EhGYZzHGU1yA8kavPcUMWcu1jl0MjitcSbgncN6h3IaLbJYV1DgTIR0+IoHvmzItXxJZCwlSRVYYah6gfQ9AU9XCh6Xn+SPp0/S3hpQ8OUXW37nL/rZfOXJ8Ye4Oh/Fj8Q4aWq+6Rf/r1m1A/+n/+YP8W2vGr7l8Sv4s8sv52dMPs1Xvfvt1HtDVJahNOy0Q3pHOTrKThMgM0VImbaoI4mEtwq0RKbyc7z0EPF0jEIQCokUGuPiQT9JY4fAoCOF13iZBbiCDJigcdqhXab94h1aKpwSyOgwPts4piTwAqSUmXMuJDoXhNDBE4TMxvBCIlDomIgpEVREBEEQKvfSUkQFjTGWtdjyt/+nb+Mf+/GfF2s/kPhRm6H/1//ev8vdIIjjlmAExNwITUISFLnxEQQaGGXehOXtHiAFSElMMdfS0hOUv6mkI4RABYgEopLoIDPrRQi0h1EJbBCMOmB9HhgyTjAagfIOqQxO5OGhrPiWa31BBGSIWSY3KjQii3DJfNyRLOOS5NOOATQKOwjwIykNdIXk5uST/MnwlfR3GjR88nzLN/yrP5d3lvMv2mf+UXxpxa53/Fu/95v4C+/VpAHUDH7a4jP8xE//TSSWpA1jmRjxCO/gwO7OG+RcbkEIlE8YQLiEwONEJCCIJovkGR9RDoIYGa2hdDDKgBQagidqnS3rjEE6RzIGYs7KnU4IH5FYgg6kACrFQ9kkHWo/uVaeh0cPWbkQecgwZonfSDZplyHX/4MSCKFQIWNHUpq98VxsBP/n//Trv6if+5dchu584NM6Mdv1BCUIEQySJCRegowembL+sk8REZ8GCwBFFuLyES1ytp51nNMbTirpYBhNICmFRGarOKnQPvNodVI46VBJ46RHJ4sXDutl1ld3PjduikAcc83c9ppkJE5qvJWkmAje59p9TKg3AC8RSZDkoZETHIGRQcOri6/iTw9fwXCtwMBXvbXlG/7Vf5EX///2zjzK8qq69599zu9WzwM9VPUENDOoDMoooNDM7QCiGBQCEkFCgjJJ1CQvJm/51nuatZ6+5CkPARENiEQGgYQhBCMOqMxDEEXm7uoGugG76bHu75z9/tj7d6vg4aNMuqq6ivNZq9bquvf2rXPPvXf/9tnDd0+fMrJvSmHMMXl8i8tP+zDr+mrOvPz73LFkAj95diF3Tl/I3tOfZZ+nH2T8uopWaNFuVZavAiQpgWxlgHVGyNQkFDWnpQoILavyapuyaF9QK1esrVyR0EL6lNpLgtsx0KqhXZknX1cWP485UseA5JqQIilkVAOJROfEjUl54EnQgJ3OsygpWCo0ZkghkUK0uH9t3nqqopV55sy43OKFcat54pnH2W7r7UfkPRmTHvp3/u6veWHZKvp0ncWYsURIX4SQMiKeBM0ZC1pYsjF4aSLZ6k5FFE0uBWDBNIK4YJdkkMpiaimRohKxeHmOkaqGumXeeruF1aG3rB42hIokbaq6BVHoq0BzTSslK4XE1N6SBJtURBuSyQ/EZOWUkoOdKoB2SDw5bzfuWL8t7ZcDtGD3ua/wjY8dzaxJE4dkjwuF17KxXXP2lTdw29NdpHWCTBLeMXMJBzx1H0jLO7ABNWOpqmTJ9jmvIERB1TSVqgzk1BkmQ6joygJ1bSXAbTvNIi1U+wix5WPsIkomqtAOQlVncoxAQrJ52XVTydbE9EU6ch9WEBHQmJEUMHPgFS4h2DQlz5uFbJLaIUZCbeqs61qZ+asyn/jy14Zsn99UHnrOylOr1zI+96HRxICCtOiLpl5ICLTJtFImByGRaamQxI9g6oaciGoGMe0WISJZqYMQtUYlWm6yncgRJESoMylGWimQohndWmpCapFiTZWEvijEOkOrixzaVFms+qUy4f3cTi6nW1GJJ19DF7UndesqWWLUZgXwTPfO/HDddtTLBOmCvRa+wkUnH8OMiRNG9o0ovOkY16q48OQPUqfMeVfdwE1PRO59dgH3TdmSPWYt5Z3P3oeSyWLNe2ZorZJFJJjiYsLyQ9SkoLRjJIRIVw2aMnVQgkZU+0ixoqvO1DFCraQQqNQLHXJNpCJFiCmhLQ+hZit6sLRo8Kq2RMYGxiTp71MxUTzwBBo5JTQEYhZLrgY36pJBAlEz41Okd9IGnlvxPHNm9wz7ezDmPPRrvvlleh99ig3aR452Jc1RSDkR1RIdIfuQZStOBJRKlVoiSEI1UKnVqKq4xy5NuZMSrRQGqbHBF7GilUzTWUKwztGWTTZqR6GVoO6Cqg+SZ9+FFnVMxJRp5YhG+/CmkNAMVTsREaJG73OyQRcqpjWxduJsrmntyvqVFTIO9pu/hotP/iCTx7c2+Z4WCv8RUsr8+TU3cd1jSntNIE6FIyb9mvkv/cbLgCsCYvMGsMlcZB/xKEAVERGq2soQkyTqVmRcW2iH2k/ENVQRbddIqwXZy4w1EVVMJiNnoirtEDq5MsWa9rSpKg+po9sUxCrecvCcmeu9KEJEaQclaiBJptLgoaJAy/9vXyvSvbbNJ/52aLz0N42Hrqo8+fRyRPvsyuzJRlHb+DpmC2kE98QxPYkk9saHZMctb3+A7NUtYmVNrs+Gue0ehglCBJfdFGIdyCFbn6lkJFbknIhaUceamM0wV7VVw7QFkEQrRSpVJFamtV6JzTT1uH2VlZgqtBrH1XP35LllU5AAuy5YxXdO+xBTRkBov1D4/xFj4G//4H38j5Q58x+u5danJnDz6p2Y3L0NH177MBM2rDT5u6RWGqjJZn0GQauAUFHVSqgTdUikKFTJIu6EiLSVXAmxhjpYPD4FpcqZOgY0JUQr0zhXi5MnAkFqK1kWyD73SzSgaiEWyQkVQRUiSurE123+aYWFdaoc0JDNY8/Jv7NC1c70ToZVa15h2uThzV2NKYGO266/nGrtOqtiUUBsTmBIajFul79NfunNVGjE/G4vcLF2IzHRnmBevKh41aCpLIacgUTy7LcNvHC7T20Z8tra8yWJaanXrhuRvLmCRMxKDEId1dQac6bKNTHbETR1VdQxoyFTS+bfFu7G1+IinuudQvestfzzmXty4ydPKMa8sFkTY+DCU47j3s8ewo7zVrFmZReXrt+T6+fuC6lldeX40JiY0cpGX7SSGfsUkoviRQRzwATzdFSiO1Z20kaixbzFxsuFnO17F6xlP0YlaSRIMFkNETT7KVgUyU1IyEMyVr8MBKKoGf6cEG+QIgspQlVbfiwHJaB0pS6u+eJfDvtejykP/Zf3PEgtbZ+JYkmRmC3sEU2egay24VaDniEHF8919a2sVkfuV/CA6TdYyzJkEc+NiydRxT5AwbpHc3OMU7t6xGyhGA/WoCSCRHIQqmxyASbqpagmJNn1304WCrHiiZ6duH319uRnYfy0Nn/57jmcdMB7R3SvC4XflxkTJ/AvZ53A3U8+wx9feze9S6fztXGHskf3Ut659D7aAYgVosEGvaSEAkm80oyIpDbEjCSTlhaPh+PfOxG1Zr8sWONpJhL9O6mQzIhb5CUgWcxxU0HsbkCR7H0r0caWKcnDRJb8pE6mfhqzOW8xotnsABlaZJ4Zr6zfsHFYx9SNGQ/9xz++BV2/xupDETRWphkhQsxqiQv1/lARk8okk9Wry9WSjVnMGycHa1UeoNugbswzXq8q4p2lvggVsmQ6PUhELEURSerROrGjgAhI48ljSZbUKL8lqHJmw/g5XDH1CG5btj3U8IG3rufRzx3NSQfsO9zbWyhsMvbedmvuO/84PnfYZLq6ah5YMp+LpryfZbN3Bvy74brkKjX+xfV6NEGp3IBb5QpkQhD7XcX0WawFlOzfQQE/RSu4OpNEy0mJ16WLJpP7CI02QSKrdR0GCWQ7YluuNATIyXpbgl0sYhDINqCDrEzYWHH1Vz4/rHs7Zjz0B//pX2i3Eta8EKhd+JKcSCEQNDSRcVM1F+mIcdVAVCsCNLGuhAa/int5uiReJQVgKUsvvaJj0a0jXyyej4hnz934o53yR220Iyoh5yY54+oscRzXzdmT5cumIuvgrfN/y5WnHcfUCSW0Uhg7nHHYQXxiUeZPLvsetz07mZs68fUHaaWVUPtsX/xLlV2fvDHuzeyC4IJ5wfpFAMt3aUAkWZiko/HojzXlLe8gz3aCFusUD9k83eTPpNkUF1tByM1ADLFQaszJ1iiBpJmokKRNpouqrnk6Zeo6UQ3TMJgx4aE/+PAv2JjWkEVAo1WbpOzZa58+0njOwQx+o3XuEw7p77vsD6moWhSG7IbWPWgANHX+j9AvfdgR7oFOdrxzMlBp7vEPRdN76vWwBO7Y6h1cUB3C8t6pdM9ayw1n7M4/f+rEYswLY5IYAxedejx3f2YRO8z9rcfX9+b6ue8khy7/ZjSnZJ/5qf5vodOLYbIYA5+5+R76FzM09Sz9z2a6TP7f/bkbpdHcr+KElz1453jzDPhpwBzDoErE+kYkBZLUIMr49cI1F39xiHbv/2VMeOg//fYVtCu/ige/esf+mHbQ7I0EJgrkyi325g1o629I4o9o3jxptF2SlTGKWi2rdiYQDnieRizfbw/+kdLGS/ewjP/B7Lc/3b0zt7+yA3kJjJ/a5nOHzOKUg0ucvPDmYNakidx29on87DdPcOb372fp0un8n3FH8Pbupey79H6SZO/YBuvzjAgJV8K18EnHorshDorW4nXl6l66fd+ax1qI1bNu0m/Ggwd4YIDbpoKqN4CYGIAnYE2bRtWE9JI3I9WY9O4TK1daE9MwyFKPeg/98acfY42sx5PeppxIRHOAlL0s0X1gyZ4NH7ix2ZOedkwTj5fn3K9+nNWU2SRE2zBVE1TBDDtAVsumW4jc24o1uwfRf2V3vTa7G1g7qZsrtjic25bvgNbwvp3X8uifH80pBx8wfJtYKGwmvHOH7bjvz47j/IPH09VVc/+S+Vw85b30ztgOzSa5YVZdbTAN5ikrgmggYd6yVSfbKVjEQjFN6MS8bUju7YcQO+fzIBb6TL4eVZeeGdBViufSELsQ4LowIQi1az+1MiQySGL82swN37lgWPZv1Hvo//q//472ODEx/BjAa1pNkEFQH+ysYplsa/c3LNxWWWxN1CpWUrYEiGQPx1i1iQieFPGJJj5fNGUL6UTp9/EFf4+b0ibUdFfUrv/WYtzihgX7sbR3OrIOdpn3Mld94sMltFIoAJ886lD+5PDMJ775Xf5tyTRuWr0zU3q24SMv3UWoV1koVS1ubXmx5E1DQlCxAgO1ebztrFRi+bIcxG0EFoZVP8WH4GEb7XyBXcnJfHkVq67xUCwdH99mMAF+galcQ12twi1WUCd+89gTw+Klj2oPffmK53ixtRHJAaSyRGQUsjcOac4EvxJ3ypvEukQ19DcLZMzwW6WhuOHOiAYfamGCWCFgZUliCoiiglj3slfNWANS8Ooasl1IJCvJgn+kKDzbvQNfn7CY3qXTmTVzHdf98W7cfNYfFmNeKAwgxsClp53AL84/iG3n/JbVL4zjYt7N3QveTk22oRMeS1c1vXOV2s/AXmYchCAJkpUhq8VgkaA+ZCMhQckZsjQh1ABeXWMevbiRD52KmUwYoMJqzp8VVSR3+DA5EE2mE7W+5ge3/OOQ79moNug3fukL5KrVuYoGxOcF+stqwhyiHWPdiWebJiZiQp0WN1Pz0iUk0IiQCWJlT1mhzpmkyT48/mGysaPmgZM9BudXcMvE10S86yhM5nvdB3PLczsiqpzy9j7uPf/DvH2rLUdg9wqF0UH3lMn84JwT+fL7ZzFuQs19S+bz7WlHsXZSDyFZHXmVzfhWuaIOFit3UWwk2xBqmpyXNaQ0w3nN+ZMEHpJRNWfOqmusMsKq03Lnu98UMxjNULqM10BAxk4PCXI0HfiHf3z3kO/VoAy6iBwlIr8WkcdF5HOvc/+JIvKQ/9wpIrtv+qW+mlWvrOa58bUNfaUCrW1Koeb+xKdaLCyrN/9gnrIlLbOXP7mKGvbeZs1oct1mifZ8IaOSvXnIL8uS3VP3KScexzPv3/RfkkRChhSUR+a+ja9Xh/Di8ols1bOKX3z6YP7m+GOHepsKhTHDh/bfl0c+8172XLCSjasil63fmx9stW9HWCt7n4do9o5sS6AK4j0iVnhsUZXg4VTwNJd9n7UpZGhyX9Gr5FxWtzm5+/2ujt5cOjrVceqNhipCzsmkeOv1/OLntw/pHr2hQReRCHwNWAy8BfioiLzlNQ97CjhIVXcDvgBctKkX+lq+98X/gkjl0Y5sA2a1qRW3I5cSPa2pLplrb6Pbc9DkMp4ZkWzZbg0u1IMflyx0EpTOPEFRE/gygtXHNu3BOdkbLEImUY+fweUzD+envQupWok/P6iLH517ArMnTxrqLSoUxhxVFbnmkx/jH07aninT+nhsyWwunbyYlVtsSZXVzHfO5BAsEJIDCQgheZJ0oMkzh0/FEqPWdNSMpvQRj2pet6idvhXpDJYWDZjijPizNVLd5kA2Ve5BA3UIqCh3XfdPQ7o/g/HQ9wEeV9UnVbUP+C5wzMAHqOqdqvqy//pzYMGmXearWb9hI72t2jRVxI5N1uYTBtSVNgeupi8su8H3UqRmULQGL0cCNHo8zqZ+21xBG0+lXruuHqRR7yCy+aM2lipIJhMJyS4edy14BxfXB7LmxS52nvsiD33mKM5YfPhQbk2h8KbgXTvvxMOf+QCHbfsS9Xrhey/vxo0LDkQkopVVrUQN7qVnco7mLbskdhOObWYFq5gTFwRi0v5OVQ+tuJSfeejZk6WuFZXA+1LqTrjdjE3tFwwTHsuibND1/PJXDwzZvgzGoM8Hlgz4fanf9rs4Fbj5P7OoN+J7X/4rYg6E1CQ1E6o1prfgRluT16E0Me0mztUf4yY0hyQvJYwWJwva+PiWTE25eYO1c0GAbHFzhJBwF940lNdMncc3px3FQ0vmMWFSm68e08MtZ5/MxK4ibVsobCpEhEtOP4lb/+QdzJq5jqVLp3Px+CN5ZtZ2NnUs2PdWQuhooAfEpVvEmwztO24FDG68RayIwf6KOXj0d3KLmFNnBC9DdvfR7YT1pVtoRpvKm2DRgR9e8o0h25PBGPTXq7PR17kNEVmEGfTP/o77TxeRe0TknhUrVgx+lQOo68RT7fWEukZC6DT3aGeZjWaKtdp6aMyPS1506B63TSexEErGhHcshBNNwwEsyRqELMFjZ8Gu6hIg12SpLTvuE8xvX7Af/7B2T/peCey75Qoe+cz7ef++Izc0tlAY6+w0by73nv9hTnjbGiTDLc/vxNVzF0GY4HmtbKdpzGhnVRfmy3SymIIPzrACi2iW3isYzdAHQlNyTnA7E7RftKPTo4KQ1YsZvYqOnNwYRV4JG3hmydNDsheDMehLgYFlGAuAZa99kIjsBlwCHKOqL77eE6nqRaq6l6ruNXv27P/Iern6wv9GVeNVKrlTpWK64Y3OoqCSCOrdXpqtNdffu0j2/2MlhtrorCjudVusTcRae+0FJn9+Kz8MXlMq1vDLCzO35pJJi3li6Symb7GRf/zYTlx15inEOKoLiQqFUcN//8PjufO8d7GgZxUrl0/i6/FQfjnvrUgONmEoNx3dQrbgiYdVgtt1M9xNg3i/+oobackdyY6mJ7UWa1wUdyyz4FPSLIsn6pV1wfRWawARbv67/zkkezAYa3M3sIOIbCMiXcBHgBsGPkBEtgKuBU5S1cc2/TL7eWLVasipk2MGe4P6BXdMoItsTT1Nplm9WUjdV7fOMlwd0TLVQvZ+f3/jvUwJdR2WoF751Og6CEjF9fMO4toXdyVvhMXbreTBP/sg++wwMkNiC4U3M3OmTuUn557A+ftD1cr8ZNlCLp91GGncFhaCoXEEzaQ3A98t+N0UP4OEJq/W5OGS152bk9if/oSQFfVCCpvD0OhCQgrWLZ46AZ+ESOTlasOQvP437BRV1VpEPgncil20LlXVR0TkDL//QuDzwEzgAu+Eqn/XiKT/LKGvRmsrHWyEtbTJbAsWalE7AjVNQXaVbJTbzGBLJ2FiHrgNl7IiJMtd12QsJi6ItwT7xUMCmZrHu3fk9lU7osuUnu41fPfERWzb0z0UL7tQKPwefOro93LqUX0ce8GV/OqFWVwaDmT3+b3s13tfR0G16dpGmhBKtLxbEHJ2tdamzV+Dx8mbQnP1YglTaWxE+KyhUK0rVQIitUkWqPigDKFGCDI0J/dBtf6r6k3ATa+57cIB/z4NOG3TLu13rKWuG5vsDUSmg9xoEgdTULBJJGplTDEk0KqTEFURkARU7uMnmipTm12SyC4JEELoJEXB5XKrCVwz62Beem4iYaJy8q5r+K8nHj8cL79QKAySiV1d3HrOx7jmJ3fylz9ewYNL5/GrGT18dMNddK2zqHCj14TH1lVt0DzineOef4sCIpmkpvdiak25MUWmByUWN9dgE8lQn1nshqeR6rWIwgga9M2KlJv9t7AHzTHHdIxzsMhLAgiWXVb1BiEafQYBb++1fEnlB6l+Od1OyWNuBLvMV18+azv+ee0u5Odg657fct3pH2DmpFJTXihsrnzowP05Zr/E8Rd8i3uf7+Ey2Z+95z/L25c95N536khbSzO9iNobBwOV+FxRbwN36T0aiyJNuEYUTdb+b2FeOgM1aE74XhqdhkjSZdRl7FwszYr7XflMgyUgNPrvflm15LQZaot3505tqQnuRPfMGy0G9VBaE0+T/uNY1eLm+Qdy48pdQOGUt67iR+eeWIx5oTAKqKrINWd9nK8cOZ1xE2vu7t2SK2cfRmpNMj+7KWX2BiIbTekV5dp0iHuSUywl2plUhunJSFI0WHepauhUxYhU0PTIiNJpJR2K1zkkzzqEZLXEhZKtgScCiAtoNf0Crn/uSok0Ajv0h1waQ95JhKjFxLJm8/Kbo5hmXpq2JdfkPUi9wuzZa7n2pEVs1f0fq9IpFAojx7HvPoDF+7U5+oLv8OvnZ3FJ1yIOnfMbtn/uUZphGlaqKJ1yRtXsZdBWY94xxh3hFu9lETv/1zkTA51adVEL1UiwcozgzU5Dwejz0ME6RAGNQk7a8cJxzzv5UUnIXi7kTb4aPasNdKJgTXDFihkDNg0cbyb40YJ9ueqVt5M2CEdutZx7Pv0HxZgXCqOY8V0t/uWcj3H2nhuIVeb257bnurmLyFUXZmGSn9ezV7REr1EBOu1FXsfiTUrWMRqhkfNVj7GrKzOatKMVYagMkTkfhQZdEbJLFyvZkp8M7H6y2pTYdH9pQlBCsisoQWwq+IC3x+pEMy5Jj4qwYcIMLtviSH61tIcp0/v4xxO24+t/Oix530KhMAycd9yH+NlZ72Jez2peWD6ZS8cdwQszFtJoNaoLclmdeerMQwDzunHhr4wQmk5Tbygynz16AUbjamLNTODl1Zue0WfQPRPtByAr1HedFckmmpVVO4NbEd/s0Pjwfg3WhDT1pyr+Rlig5YH5u/Pt9v5sXB3Zc+5yHjr/GPbZZeeResmFQmGI6J42jTvP/Sgf3PZ5tIbrXt6VW+cfQAzRrEFHASB6DL2RAalsBoJaPbuKEHI2bfVgY+ksHu++u4v7JdQTqENjekedQUdcEAtFcvA684Q2eyTufXtGWrJN5zYxrUxI6knnQPJZg5bkUNpdk7my+3Du6t2Srok1X1o0kWvOPs2mmRQKhTHLl0//ODefuhszZq7n6d4ZfGPKUayb0uPlhl42oc34SLul0YLRbFIgGixYIxkkm42KTYOqWHNShckClJCL06gd+ihoN8iCRCVl8+BNThdUm/CMieWoCDmaIQ+q5qF7N+kTPbtwqRzC6hXj2GHOSh789FEcf9iikX65hUJhmNh5qy25//zjOHBeL/Va4fK1e/OzBXtbSEWDt/z7sBwVQraudAnmVIpC1GgiXF4+beEBqL2ZsRlJ2Uw12tSMOoMetG2FKfixRnCxHdtEDZUNjfWjUiB1BsradO9sMa5s7b1U47lu7iJuf357YpU5822ruO2cjzFhXNcIvspCoTBSXH7W6Vz0vtlMmtbm4aVzuWLmkfRNnG4S3RIIwTtWxKYXRXfBcyPPq+IhYJMgCQLBG2RUTZhVO2qOm5ZRV7aY1FIOYFoszcaGZvgEqdMxSohotolE6t2gYuLF5JBZOWM7bti4K3k5zOtZzXWnLKZni+kj+voKhcLIc8R++/DQXoljv3oZD70wh8viuzhg7lO8ZdmDVvYsjR2yPF4Qq4XJQQlaEzR2amREspc/0j9ZaYgYdR66+JVNJftcz6bA34S3VJtZ3DbE2bAAu7oymlYt/nXBu7ju5V3RGo7ecgl3nvvRYswLhUKHqorceM6p/MWefbTGJ366fCFXzzkCbU3qTC+yrlIlUVugHNNPt/Yke1TOTT9Mtl51VRcB3PSMOoOu0jTuNw353hkqzS3NvaakmH2DUSVmYcPkbi6bdiRP985kxsz13HjSLvz9mWeM7IsqFAqbLX/8oWO597xDWTjnJV56fgLfqA5lxYyFVoooYnNHNVr1inq+Dpu5gCoSmuE4puUSsYloQ8GoM+iBTBYTiw9Y3EpTsopQcW3z4LK6HrASEknhkQW7ckXfO2m/Eti3Zwn3n38cb9t+2xF+RYVCYXNn6oSJ/PCck/jIwiWgcP3Lu3LH/P1plAIbYW5RmzHcMdfBhtabros5nEmSacMMAaPOoGcsfiVkUlY69YraNBKpayZY63/QhLQm8E8LDuWny7ehNSHxV3u3uerc4pUXCoXfjy+dcQbXn7Ad02Zs5PHe2Vw+4yjaE7YgBLX6xAA5iDcemfeuYkquWTNkiM3shiFg1Bl0kYxmm9eXo8/4w4e9imsSkzuto6unbc2l449kxfLJLOhZxV1nHcypH/jASL6EQqEwitltx5154NMfYI+eXtb/tuKy/G6e6nmr6UOpEoIi0SIFWRsxLrsNgVoglE5Ro87mgWuwuYAagnd6gkniWglRUuGeBXtz1Zo9SRvh8LlP8pNzT2CLKVNG+iUUCoVRTgiB7597On+64wvEVub253fg5gUHQewiqXjuzqVFmlkKuWk8Sh0lx02+riF51iEkEixO7iKKweNTyQ08CDpuMld3H8mDvfOYOK3mq4dN4OKzPzXSSy8UCmOMz57yR9xx+t50d6+hd9k0vjX5SDZO6SG44qv4FCMbVq8EhRxcSncIGHUGXb2gMyjk3F+LHrNSh8iKWdvxzepQVq8cxw5zVnD/OYt530GHjPSyC4XCGGVBTw93nXc8B3Q/RXtd4IoN+/Hv895hTmdjn1SsJwaItVKXAReGki1enk0V3aQVBELFTxbszw0vvw0UPjjncW475xTGl47PQqEwDFxx3if5/B5r6ZpY8/PlW3HdvMOhayI21NKKFkUhVXREuzc1o86ghxxQzaRgA6BVM2nCTK7YYjGP985i2swNXHXsfL5y9tkjvdRCofAm4+PH/QF3nXUIW895mRefm8g3xx/BKzO2Jaha6MUnFpUYupODVbOYqHzm6bm78q38btavqtijp5cHzjuWfXbfY6SXWSgU3qRMnzyZO875Q47sfozchqtX78FdW7+zU7EeNKC0h+RvjzqDrpJBA63Qxa3zD+MHL+xAbGU+Pv9Jvn/u6UXqtlAobBZcdN65/P2BLSZNb/PvvXP5Xvd7yBNmkKmRHIfkb4466yeqbJw6n8umLqZ3+TS6e9bwryfvzl+fWapYCoXC5sXRRxzB/We/h53nPM8rL3bx7XAoz3e/tQy4aHh2zm5cuWFf6nWBA7qf5K5zj2ebrbcc6WUVCoXC6zJuXBe3nPNxPjjrUUSUm158C7/Yav8h+VujzqDPz+uZOLXNuQuXcMV5xSsvFAqjg698+nyufP9cZsxeT0979ZD8DRkqofU3Yq+99tJ77rlnRP52oVAojFZE5F5V3ev17ht1HnqhUCgUXp9i0AuFQmGMUAx6oVAojBGKQS8UCoUxQjHohUKhMEYoBr1QKBTGCMWgFwqFwhihGPRCoVAYI4xYY5GIrACeGZE/vnkxC1g50ovYjCj70U/Zi1dT9sPYWlVnv94dI2bQC4aI3PO7ur7ejJT96Kfsxasp+/HGlJBLoVAojBGKQS8UCoUxQjHoI89FI72AzYyyH/2UvXg1ZT/egBJDLxQKhTFC8dALhUJhjFAMeqFQKIwRikEfJkTkKBH5tYg8LiKfe537TxSRh/znThHZfSTWORy80V4MeNzeIpJE5LjhXN9wM5j9EJGDReQBEXlERO4Y7jUOJ4P4rkwTkRtF5EHfjz8aiXVulqhq+RniHyACTwDbAl3Ag8BbXvOY/YEt/N+LgV+M9LpHai8GPO4HwE3AcSO97hH+bEwHfgls5b93j/S6R3g//gL4kv97NvAS0DXSa98cfoqHPjzsAzyuqk+qah/wXeCYgQ9Q1TtV9WX/9efAgmFe43DxhnvhfAq4BnhhOBc3AgxmP04ArlXVZwFUdSzvyWD2Q4EpIiLAZMyg18O7zM2TYtCHh/nAkgG/L/XbfhenAjcP6YpGjjfcCxGZDxwLXDiM6xopBvPZ2BHYQkR+KCL3isjJw7a64Wcw+/FVYBdgGfAwcLaq5uFZ3uZNNdILeJMgr3Pb69aLisgizKAfOKQrGjkGsxf/C/isqiZzwsY0g9mPCtgTOBSYAPxMRH6uqo8N9eJGgMHsx5HAA8AhwHbAbSLyY1VdPcRr2+wpBn14WApsOeD3BZh38SpEZDfgEmCxqr44TGsbbgazF3sB33VjPgt4j4jUqvr9YVnh8DKY/VgKrFTVtcBaEfkRsDswFg36YPbjj4AvqgXRHxeRp4CdgbuGZ4mbLyXkMjzcDewgItuISBfwEeCGgQ8Qka2Aa4GTxqjn1fCGe6Gq26jqQlVdCFwN/OkYNeYwiP0ArgfeJSKViEwE9gUeHeZ1DheD2Y9nsdMKItID7AQ8Oayr3EwpHvowoKq1iHwSuBXL4l+qqo+IyBl+/4XA54GZwAXumdY6BpXlBrkXbxoGsx+q+qiI3AI8BGTgElX995Fb9dAxyM/HF4DLRORhLETzWVUtsrqU1v9CoVAYM5SQS6FQKIwRikEvFAqFMUIx6IVCoTBGKAa9UCgUxgjFoBcKhcIYoRj0QqFQGCMUg14oFApjhP8L6rf4GXU/p0QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "uCurrent = uBegin(xArr[1:-1])\n",
    "plt.plot(xArr[1:-1],uCurrent)\n",
    "uArr = np.zeros((xArr.size - 2,tArr.size))\n",
    "uArr[:,0] = uCurrent\n",
    "for i in range(1000):\n",
    "    uNext = AFinal @ uCurrent + bVector\n",
    "    uArr[:,1] = uNext\n",
    "    plt.plot(xArr[1:-1],uNext)\n",
    "    uCurrent = uNext"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "ef270bb6",
   "metadata": {},
   "outputs": [],
   "source": [
    "XX, YY = np.meshgrid(xArr[1:-1],tArr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "a1c94f6d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 19)"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "XX.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "ecd5704f",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 19)"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "YY.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "56c93c05",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using matplotlib backend: Qt5Agg\n"
     ]
    }
   ],
   "source": [
    "%matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "33db2bb1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x248b4c5eaf0>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(subplot_kw={\"projection\":\"3d\"})\n",
    "ax.plot_surface(XX,YY,uArr.T)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f75c2df2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9154e873",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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